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Finding the Third Proportional to 474,652.50 and 1,023,522

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Solution

The third proportional to 474,652.50 and 1,023,522 is: 2,207,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,652.50 : 1,023,522 = 1,023,522 : x
  2. Step 2: Convert to fraction form
    474,652.50/1,023,522 = 1,023,522/x
  3. Step 3: Cross multiply
    474,652.50x = 1,023,522 × 1,023,522
  4. Step 4: Simplify right side
    474,652.50x = 1,047,597,284,484
  5. Step 5: Solve for x
    x = 1,047,597,284,484/474,652.50
  6. Step 6: Final answer
    x = 2,207,082.62

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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.