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Finding the Third Proportional to 596,427 and 1,281,846

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Solution

The third proportional to 596,427 and 1,281,846 is: 2,754,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,427 : 1,281,846 = 1,281,846 : x
  2. Step 2: Convert to fraction form
    596,427/1,281,846 = 1,281,846/x
  3. Step 3: Cross multiply
    596,427x = 1,281,846 × 1,281,846
  4. Step 4: Simplify right side
    596,427x = 1,643,129,167,716
  5. Step 5: Solve for x
    x = 1,643,129,167,716/596,427
  6. Step 6: Final answer
    x = 2,754,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.