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Finding the Third Proportional to 747,285.75 and 1,189,656

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Solution

The third proportional to 747,285.75 and 1,189,656 is: 1,893,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,285.75 : 1,189,656 = 1,189,656 : x
  2. Step 2: Convert to fraction form
    747,285.75/1,189,656 = 1,189,656/x
  3. Step 3: Cross multiply
    747,285.75x = 1,189,656 × 1,189,656
  4. Step 4: Simplify right side
    747,285.75x = 1,415,281,398,336
  5. Step 5: Solve for x
    x = 1,415,281,398,336/747,285.75
  6. Step 6: Final answer
    x = 1,893,895.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.