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Finding the Third Proportional to 546,866.44 and 801,829.13

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Solution

The third proportional to 546,866.44 and 801,829.13 is: 1,175,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,866.44 : 801,829.13 = 801,829.13 : x
  2. Step 2: Convert to fraction form
    546,866.44/801,829.13 = 801,829.13/x
  3. Step 3: Cross multiply
    546,866.44x = 801,829.13 × 801,829.13
  4. Step 4: Simplify right side
    546,866.44x = 642,929,945,698.27
  5. Step 5: Solve for x
    x = 642,929,945,698.27/546,866.44
  6. Step 6: Final answer
    x = 1,175,661.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.