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Finding the Third Proportional to 450,126 and 1,062,549

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Solution

The third proportional to 450,126 and 1,062,549 is: 2,508,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,126 : 1,062,549 = 1,062,549 : x
  2. Step 2: Convert to fraction form
    450,126/1,062,549 = 1,062,549/x
  3. Step 3: Cross multiply
    450,126x = 1,062,549 × 1,062,549
  4. Step 4: Simplify right side
    450,126x = 1,129,010,377,401
  5. Step 5: Solve for x
    x = 1,129,010,377,401/450,126
  6. Step 6: Final answer
    x = 2,508,209.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.