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Finding the Third Proportional to 517,930.88 and 1,220,895.28

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Solution

The third proportional to 517,930.88 and 1,220,895.28 is: 2,877,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,930.88 : 1,220,895.28 = 1,220,895.28 : x
  2. Step 2: Convert to fraction form
    517,930.88/1,220,895.28 = 1,220,895.28/x
  3. Step 3: Cross multiply
    517,930.88x = 1,220,895.28 × 1,220,895.28
  4. Step 4: Simplify right side
    517,930.88x = 1,490,585,287,778.52
  5. Step 5: Solve for x
    x = 1,490,585,287,778.52/517,930.88
  6. Step 6: Final answer
    x = 2,877,961.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.