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Finding the Third Proportional to 676,859 and 1,011,885

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Solution

The third proportional to 676,859 and 1,011,885 is: 1,512,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,859 : 1,011,885 = 1,011,885 : x
  2. Step 2: Convert to fraction form
    676,859/1,011,885 = 1,011,885/x
  3. Step 3: Cross multiply
    676,859x = 1,011,885 × 1,011,885
  4. Step 4: Simplify right side
    676,859x = 1,023,911,253,225
  5. Step 5: Solve for x
    x = 1,023,911,253,225/676,859
  6. Step 6: Final answer
    x = 1,512,739.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.