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Finding the Third Proportional to 649,122 and 998,361

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Solution

The third proportional to 649,122 and 998,361 is: 1,535,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,122 : 998,361 = 998,361 : x
  2. Step 2: Convert to fraction form
    649,122/998,361 = 998,361/x
  3. Step 3: Cross multiply
    649,122x = 998,361 × 998,361
  4. Step 4: Simplify right side
    649,122x = 996,724,686,321
  5. Step 5: Solve for x
    x = 996,724,686,321/649,122
  6. Step 6: Final answer
    x = 1,535,496.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.