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Finding the Third Proportional to 738,076 and 1,589,349

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Solution

The third proportional to 738,076 and 1,589,349 is: 3,422,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,076 : 1,589,349 = 1,589,349 : x
  2. Step 2: Convert to fraction form
    738,076/1,589,349 = 1,589,349/x
  3. Step 3: Cross multiply
    738,076x = 1,589,349 × 1,589,349
  4. Step 4: Simplify right side
    738,076x = 2,526,030,243,801
  5. Step 5: Solve for x
    x = 2,526,030,243,801/738,076
  6. Step 6: Final answer
    x = 3,422,452.76

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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.