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Finding the Third Proportional to 610,731.56 and 1,206,135.56

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Solution

The third proportional to 610,731.56 and 1,206,135.56 is: 2,382,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,731.56 : 1,206,135.56 = 1,206,135.56 : x
  2. Step 2: Convert to fraction form
    610,731.56/1,206,135.56 = 1,206,135.56/x
  3. Step 3: Cross multiply
    610,731.56x = 1,206,135.56 × 1,206,135.56
  4. Step 4: Simplify right side
    610,731.56x = 1,454,762,995,127.19
  5. Step 5: Solve for x
    x = 1,454,762,995,127.19/610,731.56
  6. Step 6: Final answer
    x = 2,382,000.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.