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Finding the Third Proportional to 786,269 and 1,246,958

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Solution

The third proportional to 786,269 and 1,246,958 is: 1,977,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,269 : 1,246,958 = 1,246,958 : x
  2. Step 2: Convert to fraction form
    786,269/1,246,958 = 1,246,958/x
  3. Step 3: Cross multiply
    786,269x = 1,246,958 × 1,246,958
  4. Step 4: Simplify right side
    786,269x = 1,554,904,253,764
  5. Step 5: Solve for x
    x = 1,554,904,253,764/786,269
  6. Step 6: Final answer
    x = 1,977,572.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.