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Finding the Third Proportional to 693,681.47 and 1,513,092.66

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Solution

The third proportional to 693,681.47 and 1,513,092.66 is: 3,300,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,681.47 : 1,513,092.66 = 1,513,092.66 : x
  2. Step 2: Convert to fraction form
    693,681.47/1,513,092.66 = 1,513,092.66/x
  3. Step 3: Cross multiply
    693,681.47x = 1,513,092.66 × 1,513,092.66
  4. Step 4: Simplify right side
    693,681.47x = 2,289,449,386,397.68
  5. Step 5: Solve for x
    x = 2,289,449,386,397.68/693,681.47
  6. Step 6: Final answer
    x = 3,300,433.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.