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Finding the Third Proportional to 2,657,934 and 4,090,419

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Solution

The third proportional to 2,657,934 and 4,090,419 is: 6,294,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,934 : 4,090,419 = 4,090,419 : x
  2. Step 2: Convert to fraction form
    2,657,934/4,090,419 = 4,090,419/x
  3. Step 3: Cross multiply
    2,657,934x = 4,090,419 × 4,090,419
  4. Step 4: Simplify right side
    2,657,934x = 16,731,527,595,561
  5. Step 5: Solve for x
    x = 16,731,527,595,561/2,657,934
  6. Step 6: Final answer
    x = 6,294,937.19

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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.