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Finding the Third Proportional to 730,789 and 1,594,374

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Solution

The third proportional to 730,789 and 1,594,374 is: 3,478,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,789 : 1,594,374 = 1,594,374 : x
  2. Step 2: Convert to fraction form
    730,789/1,594,374 = 1,594,374/x
  3. Step 3: Cross multiply
    730,789x = 1,594,374 × 1,594,374
  4. Step 4: Simplify right side
    730,789x = 2,542,028,451,876
  5. Step 5: Solve for x
    x = 2,542,028,451,876/730,789
  6. Step 6: Final answer
    x = 3,478,471.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.