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Finding the Third Proportional to 510,147 and 1,113,549

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Solution

The third proportional to 510,147 and 1,113,549 is: 2,430,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,147 : 1,113,549 = 1,113,549 : x
  2. Step 2: Convert to fraction form
    510,147/1,113,549 = 1,113,549/x
  3. Step 3: Cross multiply
    510,147x = 1,113,549 × 1,113,549
  4. Step 4: Simplify right side
    510,147x = 1,239,991,375,401
  5. Step 5: Solve for x
    x = 1,239,991,375,401/510,147
  6. Step 6: Final answer
    x = 2,430,655.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.