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Finding the Third Proportional to 727,649 and 1,530,699

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Solution

The third proportional to 727,649 and 1,530,699 is: 3,220,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,649 : 1,530,699 = 1,530,699 : x
  2. Step 2: Convert to fraction form
    727,649/1,530,699 = 1,530,699/x
  3. Step 3: Cross multiply
    727,649x = 1,530,699 × 1,530,699
  4. Step 4: Simplify right side
    727,649x = 2,343,039,428,601
  5. Step 5: Solve for x
    x = 2,343,039,428,601/727,649
  6. Step 6: Final answer
    x = 3,220,013.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.