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Finding the Third Proportional to 801,443,796.75 and 1,226,000,166.75

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Solution

The third proportional to 801,443,796.75 and 1,226,000,166.75 is: 1,875,460,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,443,796.75 : 1,226,000,166.75 = 1,226,000,166.75 : x
  2. Step 2: Convert to fraction form
    801,443,796.75/1,226,000,166.75 = 1,226,000,166.75/x
  3. Step 3: Cross multiply
    801,443,796.75x = 1,226,000,166.75 × 1,226,000,166.75
  4. Step 4: Simplify right side
    801,443,796.75x = 1,503,076,408,871,027,712
  5. Step 5: Solve for x
    x = 1,503,076,408,871,027,712/801,443,796.75
  6. Step 6: Final answer
    x = 1,875,460,780.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.