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Finding the Third Proportional to 1,577,934 and 2,563,625

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Solution

The third proportional to 1,577,934 and 2,563,625 is: 4,165,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,934 : 2,563,625 = 2,563,625 : x
  2. Step 2: Convert to fraction form
    1,577,934/2,563,625 = 2,563,625/x
  3. Step 3: Cross multiply
    1,577,934x = 2,563,625 × 2,563,625
  4. Step 4: Simplify right side
    1,577,934x = 6,572,173,140,625
  5. Step 5: Solve for x
    x = 6,572,173,140,625/1,577,934
  6. Step 6: Final answer
    x = 4,165,049.45

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.