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Finding the Third Proportional to 1,829,472 and 4,275,600

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Solution

The third proportional to 1,829,472 and 4,275,600 is: 9,992,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,472 : 4,275,600 = 4,275,600 : x
  2. Step 2: Convert to fraction form
    1,829,472/4,275,600 = 4,275,600/x
  3. Step 3: Cross multiply
    1,829,472x = 4,275,600 × 4,275,600
  4. Step 4: Simplify right side
    1,829,472x = 18,280,755,360,000
  5. Step 5: Solve for x
    x = 18,280,755,360,000/1,829,472
  6. Step 6: Final answer
    x = 9,992,366.85

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.