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Finding the Third Proportional to 786,532 and 1,202,718

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Solution

The third proportional to 786,532 and 1,202,718 is: 1,839,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,532 : 1,202,718 = 1,202,718 : x
  2. Step 2: Convert to fraction form
    786,532/1,202,718 = 1,202,718/x
  3. Step 3: Cross multiply
    786,532x = 1,202,718 × 1,202,718
  4. Step 4: Simplify right side
    786,532x = 1,446,530,587,524
  5. Step 5: Solve for x
    x = 1,446,530,587,524/786,532
  6. Step 6: Final answer
    x = 1,839,124.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.