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Finding the Third Proportional to 691,986 and 1,487,436

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Solution

The third proportional to 691,986 and 1,487,436 is: 3,197,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,986 : 1,487,436 = 1,487,436 : x
  2. Step 2: Convert to fraction form
    691,986/1,487,436 = 1,487,436/x
  3. Step 3: Cross multiply
    691,986x = 1,487,436 × 1,487,436
  4. Step 4: Simplify right side
    691,986x = 2,212,465,854,096
  5. Step 5: Solve for x
    x = 2,212,465,854,096/691,986
  6. Step 6: Final answer
    x = 3,197,269.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.