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Finding the Third Proportional to 671,598 and 1,451,451

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Solution

The third proportional to 671,598 and 1,451,451 is: 3,136,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,598 : 1,451,451 = 1,451,451 : x
  2. Step 2: Convert to fraction form
    671,598/1,451,451 = 1,451,451/x
  3. Step 3: Cross multiply
    671,598x = 1,451,451 × 1,451,451
  4. Step 4: Simplify right side
    671,598x = 2,106,710,005,401
  5. Step 5: Solve for x
    x = 2,106,710,005,401/671,598
  6. Step 6: Final answer
    x = 3,136,861.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.