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Finding the Third Proportional to 1,306,086.56 and 2,017,358.34

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Solution

The third proportional to 1,306,086.56 and 2,017,358.34 is: 3,115,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,086.56 : 2,017,358.34 = 2,017,358.34 : x
  2. Step 2: Convert to fraction form
    1,306,086.56/2,017,358.34 = 2,017,358.34/x
  3. Step 3: Cross multiply
    1,306,086.56x = 2,017,358.34 × 2,017,358.34
  4. Step 4: Simplify right side
    1,306,086.56x = 4,069,734,687,097.74
  5. Step 5: Solve for x
    x = 4,069,734,687,097.74/1,306,086.56
  6. Step 6: Final answer
    x = 3,115,976.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.