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Finding the Third Proportional to 738,898 and 1,591,741

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Solution

The third proportional to 738,898 and 1,591,741 is: 3,428,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,898 : 1,591,741 = 1,591,741 : x
  2. Step 2: Convert to fraction form
    738,898/1,591,741 = 1,591,741/x
  3. Step 3: Cross multiply
    738,898x = 1,591,741 × 1,591,741
  4. Step 4: Simplify right side
    738,898x = 2,533,639,411,081
  5. Step 5: Solve for x
    x = 2,533,639,411,081/738,898
  6. Step 6: Final answer
    x = 3,428,943.39

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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.