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Finding the Third Proportional to 486,378 and 1,060,452

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Solution

The third proportional to 486,378 and 1,060,452 is: 2,312,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,378 : 1,060,452 = 1,060,452 : x
  2. Step 2: Convert to fraction form
    486,378/1,060,452 = 1,060,452/x
  3. Step 3: Cross multiply
    486,378x = 1,060,452 × 1,060,452
  4. Step 4: Simplify right side
    486,378x = 1,124,558,444,304
  5. Step 5: Solve for x
    x = 1,124,558,444,304/486,378
  6. Step 6: Final answer
    x = 2,312,107.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.