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Finding the Third Proportional to 2,400,542 and 3,376,275

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Solution

The third proportional to 2,400,542 and 3,376,275 is: 4,748,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,542 : 3,376,275 = 3,376,275 : x
  2. Step 2: Convert to fraction form
    2,400,542/3,376,275 = 3,376,275/x
  3. Step 3: Cross multiply
    2,400,542x = 3,376,275 × 3,376,275
  4. Step 4: Simplify right side
    2,400,542x = 11,399,232,875,625
  5. Step 5: Solve for x
    x = 11,399,232,875,625/2,400,542
  6. Step 6: Final answer
    x = 4,748,607.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.