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Finding the Third Proportional to 753,734 and 1,023,522

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Solution

The third proportional to 753,734 and 1,023,522 is: 1,389,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,734 : 1,023,522 = 1,023,522 : x
  2. Step 2: Convert to fraction form
    753,734/1,023,522 = 1,023,522/x
  3. Step 3: Cross multiply
    753,734x = 1,023,522 × 1,023,522
  4. Step 4: Simplify right side
    753,734x = 1,047,597,284,484
  5. Step 5: Solve for x
    x = 1,047,597,284,484/753,734
  6. Step 6: Final answer
    x = 1,389,876.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.