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Finding the Third Proportional to 2,947,098 and 4,402,448

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Solution

The third proportional to 2,947,098 and 4,402,448 is: 6,576,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,098 : 4,402,448 = 4,402,448 : x
  2. Step 2: Convert to fraction form
    2,947,098/4,402,448 = 4,402,448/x
  3. Step 3: Cross multiply
    2,947,098x = 4,402,448 × 4,402,448
  4. Step 4: Simplify right side
    2,947,098x = 19,381,548,392,704
  5. Step 5: Solve for x
    x = 19,381,548,392,704/2,947,098
  6. Step 6: Final answer
    x = 6,576,485.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.