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Finding the Third Proportional to 517,948 and 1,220,934

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Solution

The third proportional to 517,948 and 1,220,934 is: 2,878,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,948 : 1,220,934 = 1,220,934 : x
  2. Step 2: Convert to fraction form
    517,948/1,220,934 = 1,220,934/x
  3. Step 3: Cross multiply
    517,948x = 1,220,934 × 1,220,934
  4. Step 4: Simplify right side
    517,948x = 1,490,679,832,356
  5. Step 5: Solve for x
    x = 1,490,679,832,356/517,948
  6. Step 6: Final answer
    x = 2,878,049.21

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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.