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Finding the Third Proportional to 707,481 and 1,527,005.25

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Solution

The third proportional to 707,481 and 1,527,005.25 is: 3,295,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,481 : 1,527,005.25 = 1,527,005.25 : x
  2. Step 2: Convert to fraction form
    707,481/1,527,005.25 = 1,527,005.25/x
  3. Step 3: Cross multiply
    707,481x = 1,527,005.25 × 1,527,005.25
  4. Step 4: Simplify right side
    707,481x = 2,331,745,033,527.56
  5. Step 5: Solve for x
    x = 2,331,745,033,527.56/707,481
  6. Step 6: Final answer
    x = 3,295,841.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.