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Finding the Third Proportional to 728,127 and 1,139,728.50

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Solution

The third proportional to 728,127 and 1,139,728.50 is: 1,784,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,127 : 1,139,728.50 = 1,139,728.50 : x
  2. Step 2: Convert to fraction form
    728,127/1,139,728.50 = 1,139,728.50/x
  3. Step 3: Cross multiply
    728,127x = 1,139,728.50 × 1,139,728.50
  4. Step 4: Simplify right side
    728,127x = 1,298,981,053,712.25
  5. Step 5: Solve for x
    x = 1,298,981,053,712.25/728,127
  6. Step 6: Final answer
    x = 1,784,003.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.