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Finding the Third Proportional to 599,685.75 and 1,295,397

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Solution

The third proportional to 599,685.75 and 1,295,397 is: 2,798,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,685.75 : 1,295,397 = 1,295,397 : x
  2. Step 2: Convert to fraction form
    599,685.75/1,295,397 = 1,295,397/x
  3. Step 3: Cross multiply
    599,685.75x = 1,295,397 × 1,295,397
  4. Step 4: Simplify right side
    599,685.75x = 1,678,053,387,609
  5. Step 5: Solve for x
    x = 1,678,053,387,609/599,685.75
  6. Step 6: Final answer
    x = 2,798,221.21

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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.