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Finding the Third Proportional to 2,485,798 and 3,838,591

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Solution

The third proportional to 2,485,798 and 3,838,591 is: 5,927,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485,798 : 3,838,591 = 3,838,591 : x
  2. Step 2: Convert to fraction form
    2,485,798/3,838,591 = 3,838,591/x
  3. Step 3: Cross multiply
    2,485,798x = 3,838,591 × 3,838,591
  4. Step 4: Simplify right side
    2,485,798x = 14,734,780,865,281
  5. Step 5: Solve for x
    x = 14,734,780,865,281/2,485,798
  6. Step 6: Final answer
    x = 5,927,585.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.