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Finding the Third Proportional to 642,057 and 995,548

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Solution

The third proportional to 642,057 and 995,548 is: 1,543,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,057 : 995,548 = 995,548 : x
  2. Step 2: Convert to fraction form
    642,057/995,548 = 995,548/x
  3. Step 3: Cross multiply
    642,057x = 995,548 × 995,548
  4. Step 4: Simplify right side
    642,057x = 991,115,820,304
  5. Step 5: Solve for x
    x = 991,115,820,304/642,057
  6. Step 6: Final answer
    x = 1,543,657.06

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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.