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Finding the Third Proportional to 4,889,538 and 7,439,643

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Solution

The third proportional to 4,889,538 and 7,439,643 is: 11,319,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889,538 : 7,439,643 = 7,439,643 : x
  2. Step 2: Convert to fraction form
    4,889,538/7,439,643 = 7,439,643/x
  3. Step 3: Cross multiply
    4,889,538x = 7,439,643 × 7,439,643
  4. Step 4: Simplify right side
    4,889,538x = 55,348,287,967,449
  5. Step 5: Solve for x
    x = 55,348,287,967,449/4,889,538
  6. Step 6: Final answer
    x = 11,319,737.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.