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Finding the Third Proportional to 791,686 and 1,226,364

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Solution

The third proportional to 791,686 and 1,226,364 is: 1,899,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,686 : 1,226,364 = 1,226,364 : x
  2. Step 2: Convert to fraction form
    791,686/1,226,364 = 1,226,364/x
  3. Step 3: Cross multiply
    791,686x = 1,226,364 × 1,226,364
  4. Step 4: Simplify right side
    791,686x = 1,503,968,660,496
  5. Step 5: Solve for x
    x = 1,503,968,660,496/791,686
  6. Step 6: Final answer
    x = 1,899,703.49

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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.