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Finding the Third Proportional to 801,443,810 and 1,226,000,188

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Solution

The third proportional to 801,443,810 and 1,226,000,188 is: 1,875,460,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,443,810 : 1,226,000,188 = 1,226,000,188 : x
  2. Step 2: Convert to fraction form
    801,443,810/1,226,000,188 = 1,226,000,188/x
  3. Step 3: Cross multiply
    801,443,810x = 1,226,000,188 × 1,226,000,188
  4. Step 4: Simplify right side
    801,443,810x = 1,503,076,460,976,035,328
  5. Step 5: Solve for x
    x = 1,503,076,460,976,035,328/801,443,810
  6. Step 6: Final answer
    x = 1,875,460,814.87

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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.