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Finding the Third Proportional to 521,650 and 1,142,930

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Solution

The third proportional to 521,650 and 1,142,930 is: 2,504,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,650 : 1,142,930 = 1,142,930 : x
  2. Step 2: Convert to fraction form
    521,650/1,142,930 = 1,142,930/x
  3. Step 3: Cross multiply
    521,650x = 1,142,930 × 1,142,930
  4. Step 4: Simplify right side
    521,650x = 1,306,288,984,900
  5. Step 5: Solve for x
    x = 1,306,288,984,900/521,650
  6. Step 6: Final answer
    x = 2,504,148.35

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