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Finding the Third Proportional to 707,508 and 1,527,645.66

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Solution

The third proportional to 707,508 and 1,527,645.66 is: 3,298,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,508 : 1,527,645.66 = 1,527,645.66 : x
  2. Step 2: Convert to fraction form
    707,508/1,527,645.66 = 1,527,645.66/x
  3. Step 3: Cross multiply
    707,508x = 1,527,645.66 × 1,527,645.66
  4. Step 4: Simplify right side
    707,508x = 2,333,701,251,059.49
  5. Step 5: Solve for x
    x = 2,333,701,251,059.49/707,508
  6. Step 6: Final answer
    x = 3,298,480.37

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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.