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Finding the Third Proportional to 773,624 and 1,646,898

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Solution

The third proportional to 773,624 and 1,646,898 is: 3,505,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,624 : 1,646,898 = 1,646,898 : x
  2. Step 2: Convert to fraction form
    773,624/1,646,898 = 1,646,898/x
  3. Step 3: Cross multiply
    773,624x = 1,646,898 × 1,646,898
  4. Step 4: Simplify right side
    773,624x = 2,712,273,022,404
  5. Step 5: Solve for x
    x = 2,712,273,022,404/773,624
  6. Step 6: Final answer
    x = 3,505,931.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.