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Finding the Third Proportional to 546,859.13 and 801,820.13

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Solution

The third proportional to 546,859.13 and 801,820.13 is: 1,175,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,859.13 : 801,820.13 = 801,820.13 : x
  2. Step 2: Convert to fraction form
    546,859.13/801,820.13 = 801,820.13/x
  3. Step 3: Cross multiply
    546,859.13x = 801,820.13 × 801,820.13
  4. Step 4: Simplify right side
    546,859.13x = 642,915,512,855.02
  5. Step 5: Solve for x
    x = 642,915,512,855.02/546,859.13
  6. Step 6: Final answer
    x = 1,175,651.07

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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.