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Finding the Third Proportional to 2,023,681 and 4,309,538

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Solution

The third proportional to 2,023,681 and 4,309,538 is: 9,177,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,681 : 4,309,538 = 4,309,538 : x
  2. Step 2: Convert to fraction form
    2,023,681/4,309,538 = 4,309,538/x
  3. Step 3: Cross multiply
    2,023,681x = 4,309,538 × 4,309,538
  4. Step 4: Simplify right side
    2,023,681x = 18,572,117,773,444
  5. Step 5: Solve for x
    x = 18,572,117,773,444/2,023,681
  6. Step 6: Final answer
    x = 9,177,393.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.