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Finding the Third Proportional to 791,682 and 1,226,358

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Solution

The third proportional to 791,682 and 1,226,358 is: 1,899,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,682 : 1,226,358 = 1,226,358 : x
  2. Step 2: Convert to fraction form
    791,682/1,226,358 = 1,226,358/x
  3. Step 3: Cross multiply
    791,682x = 1,226,358 × 1,226,358
  4. Step 4: Simplify right side
    791,682x = 1,503,953,944,164
  5. Step 5: Solve for x
    x = 1,503,953,944,164/791,682
  6. Step 6: Final answer
    x = 1,899,694.50

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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.