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Finding the Third Proportional to 623,930 and 967,863

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Solution

The third proportional to 623,930 and 967,863 is: 1,501,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,930 : 967,863 = 967,863 : x
  2. Step 2: Convert to fraction form
    623,930/967,863 = 967,863/x
  3. Step 3: Cross multiply
    623,930x = 967,863 × 967,863
  4. Step 4: Simplify right side
    623,930x = 936,758,786,769
  5. Step 5: Solve for x
    x = 936,758,786,769/623,930
  6. Step 6: Final answer
    x = 1,501,384.43

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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.