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Finding the Third Proportional to 707,760 and 1,125,756

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Solution

The third proportional to 707,760 and 1,125,756 is: 1,790,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,760 : 1,125,756 = 1,125,756 : x
  2. Step 2: Convert to fraction form
    707,760/1,125,756 = 1,125,756/x
  3. Step 3: Cross multiply
    707,760x = 1,125,756 × 1,125,756
  4. Step 4: Simplify right side
    707,760x = 1,267,326,571,536
  5. Step 5: Solve for x
    x = 1,267,326,571,536/707,760
  6. Step 6: Final answer
    x = 1,790,616.27

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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.