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Finding the Third Proportional to 687,006.56 and 1,468,356.56

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Solution

The third proportional to 687,006.56 and 1,468,356.56 is: 3,138,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,006.56 : 1,468,356.56 = 1,468,356.56 : x
  2. Step 2: Convert to fraction form
    687,006.56/1,468,356.56 = 1,468,356.56/x
  3. Step 3: Cross multiply
    687,006.56x = 1,468,356.56 × 1,468,356.56
  4. Step 4: Simplify right side
    687,006.56x = 2,156,070,994,636.82
  5. Step 5: Solve for x
    x = 2,156,070,994,636.82/687,006.56
  6. Step 6: Final answer
    x = 3,138,355.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.