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Finding the Third Proportional to 727,796 and 988,782

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Solution

The third proportional to 727,796 and 988,782 is: 1,343,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,796 : 988,782 = 988,782 : x
  2. Step 2: Convert to fraction form
    727,796/988,782 = 988,782/x
  3. Step 3: Cross multiply
    727,796x = 988,782 × 988,782
  4. Step 4: Simplify right side
    727,796x = 977,689,843,524
  5. Step 5: Solve for x
    x = 977,689,843,524/727,796
  6. Step 6: Final answer
    x = 1,343,356.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.