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Finding the Third Proportional to 680,652 and 1,001,322

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Solution

The third proportional to 680,652 and 1,001,322 is: 1,473,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,652 : 1,001,322 = 1,001,322 : x
  2. Step 2: Convert to fraction form
    680,652/1,001,322 = 1,001,322/x
  3. Step 3: Cross multiply
    680,652x = 1,001,322 × 1,001,322
  4. Step 4: Simplify right side
    680,652x = 1,002,645,747,684
  5. Step 5: Solve for x
    x = 1,002,645,747,684/680,652
  6. Step 6: Final answer
    x = 1,473,066.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.