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Finding the Third Proportional to 510,985.13 and 1,108,900.97

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Solution

The third proportional to 510,985.13 and 1,108,900.97 is: 2,406,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,985.13 : 1,108,900.97 = 1,108,900.97 : x
  2. Step 2: Convert to fraction form
    510,985.13/1,108,900.97 = 1,108,900.97/x
  3. Step 3: Cross multiply
    510,985.13x = 1,108,900.97 × 1,108,900.97
  4. Step 4: Simplify right side
    510,985.13x = 1,229,661,358,494.69
  5. Step 5: Solve for x
    x = 1,229,661,358,494.69/510,985.13
  6. Step 6: Final answer
    x = 2,406,452.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.