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Finding the Third Proportional to 771,288 and 1,580,160

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Solution

The third proportional to 771,288 and 1,580,160 is: 3,237,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,288 : 1,580,160 = 1,580,160 : x
  2. Step 2: Convert to fraction form
    771,288/1,580,160 = 1,580,160/x
  3. Step 3: Cross multiply
    771,288x = 1,580,160 × 1,580,160
  4. Step 4: Simplify right side
    771,288x = 2,496,905,625,600
  5. Step 5: Solve for x
    x = 2,496,905,625,600/771,288
  6. Step 6: Final answer
    x = 3,237,319.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.