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Finding the Third Proportional to 637,134 and 963,863

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Solution

The third proportional to 637,134 and 963,863 is: 1,458,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,134 : 963,863 = 963,863 : x
  2. Step 2: Convert to fraction form
    637,134/963,863 = 963,863/x
  3. Step 3: Cross multiply
    637,134x = 963,863 × 963,863
  4. Step 4: Simplify right side
    637,134x = 929,031,882,769
  5. Step 5: Solve for x
    x = 929,031,882,769/637,134
  6. Step 6: Final answer
    x = 1,458,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.