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Finding the Third Proportional to 1,037,378 and 1,577,387

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Solution

The third proportional to 1,037,378 and 1,577,387 is: 2,398,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,378 : 1,577,387 = 1,577,387 : x
  2. Step 2: Convert to fraction form
    1,037,378/1,577,387 = 1,577,387/x
  3. Step 3: Cross multiply
    1,037,378x = 1,577,387 × 1,577,387
  4. Step 4: Simplify right side
    1,037,378x = 2,488,149,747,769
  5. Step 5: Solve for x
    x = 2,488,149,747,769/1,037,378
  6. Step 6: Final answer
    x = 2,398,498.66

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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.