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Finding the Third Proportional to 474,148.69 and 1,016,128.55

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Solution

The third proportional to 474,148.69 and 1,016,128.55 is: 2,177,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,148.69 : 1,016,128.55 = 1,016,128.55 : x
  2. Step 2: Convert to fraction form
    474,148.69/1,016,128.55 = 1,016,128.55/x
  3. Step 3: Cross multiply
    474,148.69x = 1,016,128.55 × 1,016,128.55
  4. Step 4: Simplify right side
    474,148.69x = 1,032,517,223,774.30
  5. Step 5: Solve for x
    x = 1,032,517,223,774.30/474,148.69
  6. Step 6: Final answer
    x = 2,177,623.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.