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Finding the Third Proportional to 791,409 and 1,226,208

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Solution

The third proportional to 791,409 and 1,226,208 is: 1,899,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,409 : 1,226,208 = 1,226,208 : x
  2. Step 2: Convert to fraction form
    791,409/1,226,208 = 1,226,208/x
  3. Step 3: Cross multiply
    791,409x = 1,226,208 × 1,226,208
  4. Step 4: Simplify right side
    791,409x = 1,503,586,059,264
  5. Step 5: Solve for x
    x = 1,503,586,059,264/791,409
  6. Step 6: Final answer
    x = 1,899,884.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.