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Finding the Third Proportional to 496,716 and 786,870

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Solution

The third proportional to 496,716 and 786,870 is: 1,246,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,716 : 786,870 = 786,870 : x
  2. Step 2: Convert to fraction form
    496,716/786,870 = 786,870/x
  3. Step 3: Cross multiply
    496,716x = 786,870 × 786,870
  4. Step 4: Simplify right side
    496,716x = 619,164,396,900
  5. Step 5: Solve for x
    x = 619,164,396,900/496,716
  6. Step 6: Final answer
    x = 1,246,515.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.