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Finding the Third Proportional to 947,662.88 and 1,285,966.13

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Solution

The third proportional to 947,662.88 and 1,285,966.13 is: 1,745,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,662.88 : 1,285,966.13 = 1,285,966.13 : x
  2. Step 2: Convert to fraction form
    947,662.88/1,285,966.13 = 1,285,966.13/x
  3. Step 3: Cross multiply
    947,662.88x = 1,285,966.13 × 1,285,966.13
  4. Step 4: Simplify right side
    947,662.88x = 1,653,708,874,647.52
  5. Step 5: Solve for x
    x = 1,653,708,874,647.52/947,662.88
  6. Step 6: Final answer
    x = 1,745,039.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.