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Finding the Third Proportional to 642,059 and 995,549

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Solution

The third proportional to 642,059 and 995,549 is: 1,543,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,059 : 995,549 = 995,549 : x
  2. Step 2: Convert to fraction form
    642,059/995,549 = 995,549/x
  3. Step 3: Cross multiply
    642,059x = 995,549 × 995,549
  4. Step 4: Simplify right side
    642,059x = 991,117,811,401
  5. Step 5: Solve for x
    x = 991,117,811,401/642,059
  6. Step 6: Final answer
    x = 1,543,655.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.