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Finding the Third Proportional to 738,295 and 1,156,649

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Solution

The third proportional to 738,295 and 1,156,649 is: 1,812,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,295 : 1,156,649 = 1,156,649 : x
  2. Step 2: Convert to fraction form
    738,295/1,156,649 = 1,156,649/x
  3. Step 3: Cross multiply
    738,295x = 1,156,649 × 1,156,649
  4. Step 4: Simplify right side
    738,295x = 1,337,836,909,201
  5. Step 5: Solve for x
    x = 1,337,836,909,201/738,295
  6. Step 6: Final answer
    x = 1,812,062.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.