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Finding the Third Proportional to 648,384 and 1,041,771

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Solution

The third proportional to 648,384 and 1,041,771 is: 1,673,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,384 : 1,041,771 = 1,041,771 : x
  2. Step 2: Convert to fraction form
    648,384/1,041,771 = 1,041,771/x
  3. Step 3: Cross multiply
    648,384x = 1,041,771 × 1,041,771
  4. Step 4: Simplify right side
    648,384x = 1,085,286,816,441
  5. Step 5: Solve for x
    x = 1,085,286,816,441/648,384
  6. Step 6: Final answer
    x = 1,673,833.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.