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Finding the Third Proportional to 676,952 and 1,486,770

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Solution

The third proportional to 676,952 and 1,486,770 is: 3,265,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,952 : 1,486,770 = 1,486,770 : x
  2. Step 2: Convert to fraction form
    676,952/1,486,770 = 1,486,770/x
  3. Step 3: Cross multiply
    676,952x = 1,486,770 × 1,486,770
  4. Step 4: Simplify right side
    676,952x = 2,210,485,032,900
  5. Step 5: Solve for x
    x = 2,210,485,032,900/676,952
  6. Step 6: Final answer
    x = 3,265,349.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.