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Finding the Third Proportional to 2,947,084 and 4,402,422

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Solution

The third proportional to 2,947,084 and 4,402,422 is: 6,576,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,084 : 4,402,422 = 4,402,422 : x
  2. Step 2: Convert to fraction form
    2,947,084/4,402,422 = 4,402,422/x
  3. Step 3: Cross multiply
    2,947,084x = 4,402,422 × 4,402,422
  4. Step 4: Simplify right side
    2,947,084x = 19,381,319,466,084
  5. Step 5: Solve for x
    x = 19,381,319,466,084/2,947,084
  6. Step 6: Final answer
    x = 6,576,439.45

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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.