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Finding the Third Proportional to 500,697 and 1,081,948

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Solution

The third proportional to 500,697 and 1,081,948 is: 2,337,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,697 : 1,081,948 = 1,081,948 : x
  2. Step 2: Convert to fraction form
    500,697/1,081,948 = 1,081,948/x
  3. Step 3: Cross multiply
    500,697x = 1,081,948 × 1,081,948
  4. Step 4: Simplify right side
    500,697x = 1,170,611,474,704
  5. Step 5: Solve for x
    x = 1,170,611,474,704/500,697
  6. Step 6: Final answer
    x = 2,337,963.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.