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Finding the Third Proportional to 648,468.28 and 1,035,943.17

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Solution

The third proportional to 648,468.28 and 1,035,943.17 is: 1,654,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,468.28 : 1,035,943.17 = 1,035,943.17 : x
  2. Step 2: Convert to fraction form
    648,468.28/1,035,943.17 = 1,035,943.17/x
  3. Step 3: Cross multiply
    648,468.28x = 1,035,943.17 × 1,035,943.17
  4. Step 4: Simplify right side
    648,468.28x = 1,073,178,255,354.44
  5. Step 5: Solve for x
    x = 1,073,178,255,354.44/648,468.28
  6. Step 6: Final answer
    x = 1,654,943.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.