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Finding the Third Proportional to 615,820.38 and 1,438,834.31

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Solution

The third proportional to 615,820.38 and 1,438,834.31 is: 3,361,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,820.38 : 1,438,834.31 = 1,438,834.31 : x
  2. Step 2: Convert to fraction form
    615,820.38/1,438,834.31 = 1,438,834.31/x
  3. Step 3: Cross multiply
    615,820.38x = 1,438,834.31 × 1,438,834.31
  4. Step 4: Simplify right side
    615,820.38x = 2,070,244,178,827.35
  5. Step 5: Solve for x
    x = 2,070,244,178,827.35/615,820.38
  6. Step 6: Final answer
    x = 3,361,766.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.