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Finding the Third Proportional to 483,306 and 1,049,682

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Solution

The third proportional to 483,306 and 1,049,682 is: 2,279,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,306 : 1,049,682 = 1,049,682 : x
  2. Step 2: Convert to fraction form
    483,306/1,049,682 = 1,049,682/x
  3. Step 3: Cross multiply
    483,306x = 1,049,682 × 1,049,682
  4. Step 4: Simplify right side
    483,306x = 1,101,832,301,124
  5. Step 5: Solve for x
    x = 1,101,832,301,124/483,306
  6. Step 6: Final answer
    x = 2,279,781.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.