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Finding the Third Proportional to 642,066 and 995,562

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Solution

The third proportional to 642,066 and 995,562 is: 1,543,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,066 : 995,562 = 995,562 : x
  2. Step 2: Convert to fraction form
    642,066/995,562 = 995,562/x
  3. Step 3: Cross multiply
    642,066x = 995,562 × 995,562
  4. Step 4: Simplify right side
    642,066x = 991,143,695,844
  5. Step 5: Solve for x
    x = 991,143,695,844/642,066
  6. Step 6: Final answer
    x = 1,543,678.84

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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.