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Finding the Third Proportional to 722,236 and 1,123,566

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Solution

The third proportional to 722,236 and 1,123,566 is: 1,747,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,236 : 1,123,566 = 1,123,566 : x
  2. Step 2: Convert to fraction form
    722,236/1,123,566 = 1,123,566/x
  3. Step 3: Cross multiply
    722,236x = 1,123,566 × 1,123,566
  4. Step 4: Simplify right side
    722,236x = 1,262,400,556,356
  5. Step 5: Solve for x
    x = 1,262,400,556,356/722,236
  6. Step 6: Final answer
    x = 1,747,905.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.