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Finding the Third Proportional to 465,664 and 1,022,771

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Solution

The third proportional to 465,664 and 1,022,771 is: 2,246,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,664 : 1,022,771 = 1,022,771 : x
  2. Step 2: Convert to fraction form
    465,664/1,022,771 = 1,022,771/x
  3. Step 3: Cross multiply
    465,664x = 1,022,771 × 1,022,771
  4. Step 4: Simplify right side
    465,664x = 1,046,060,518,441
  5. Step 5: Solve for x
    x = 1,046,060,518,441/465,664
  6. Step 6: Final answer
    x = 2,246,384.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.