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Finding the Third Proportional to 402,616 and 822,704

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Solution

The third proportional to 402,616 and 822,704 is: 1,681,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,616 : 822,704 = 822,704 : x
  2. Step 2: Convert to fraction form
    402,616/822,704 = 822,704/x
  3. Step 3: Cross multiply
    402,616x = 822,704 × 822,704
  4. Step 4: Simplify right side
    402,616x = 676,841,871,616
  5. Step 5: Solve for x
    x = 676,841,871,616/402,616
  6. Step 6: Final answer
    x = 1,681,110.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.