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Finding the Third Proportional to 619,863 and 957,846

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Solution

The third proportional to 619,863 and 957,846 is: 1,480,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,863 : 957,846 = 957,846 : x
  2. Step 2: Convert to fraction form
    619,863/957,846 = 957,846/x
  3. Step 3: Cross multiply
    619,863x = 957,846 × 957,846
  4. Step 4: Simplify right side
    619,863x = 917,468,959,716
  5. Step 5: Solve for x
    x = 917,468,959,716/619,863
  6. Step 6: Final answer
    x = 1,480,115.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.