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Finding the Third Proportional to 508,734 and 1,104,948

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Solution

The third proportional to 508,734 and 1,104,948 is: 2,399,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,734 : 1,104,948 = 1,104,948 : x
  2. Step 2: Convert to fraction form
    508,734/1,104,948 = 1,104,948/x
  3. Step 3: Cross multiply
    508,734x = 1,104,948 × 1,104,948
  4. Step 4: Simplify right side
    508,734x = 1,220,910,082,704
  5. Step 5: Solve for x
    x = 1,220,910,082,704/508,734
  6. Step 6: Final answer
    x = 2,399,898.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.