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Finding the Third Proportional to 736,062 and 1,107,780

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Solution

The third proportional to 736,062 and 1,107,780 is: 1,667,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,062 : 1,107,780 = 1,107,780 : x
  2. Step 2: Convert to fraction form
    736,062/1,107,780 = 1,107,780/x
  3. Step 3: Cross multiply
    736,062x = 1,107,780 × 1,107,780
  4. Step 4: Simplify right side
    736,062x = 1,227,176,528,400
  5. Step 5: Solve for x
    x = 1,227,176,528,400/736,062
  6. Step 6: Final answer
    x = 1,667,218.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.