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Finding the Third Proportional to 416,143.13 and 909,337.13

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Solution

The third proportional to 416,143.13 and 909,337.13 is: 1,987,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,143.13 : 909,337.13 = 909,337.13 : x
  2. Step 2: Convert to fraction form
    416,143.13/909,337.13 = 909,337.13/x
  3. Step 3: Cross multiply
    416,143.13x = 909,337.13 × 909,337.13
  4. Step 4: Simplify right side
    416,143.13x = 826,894,006,903.27
  5. Step 5: Solve for x
    x = 826,894,006,903.27/416,143.13
  6. Step 6: Final answer
    x = 1,987,042.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.