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Finding the Third Proportional to 636,008 and 954,012

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Solution

The third proportional to 636,008 and 954,012 is: 1,431,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,008 : 954,012 = 954,012 : x
  2. Step 2: Convert to fraction form
    636,008/954,012 = 954,012/x
  3. Step 3: Cross multiply
    636,008x = 954,012 × 954,012
  4. Step 4: Simplify right side
    636,008x = 910,138,896,144
  5. Step 5: Solve for x
    x = 910,138,896,144/636,008
  6. Step 6: Final answer
    x = 1,431,018

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.