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Finding the Third Proportional to 486,981 and 1,067,364

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Solution

The third proportional to 486,981 and 1,067,364 is: 2,339,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,981 : 1,067,364 = 1,067,364 : x
  2. Step 2: Convert to fraction form
    486,981/1,067,364 = 1,067,364/x
  3. Step 3: Cross multiply
    486,981x = 1,067,364 × 1,067,364
  4. Step 4: Simplify right side
    486,981x = 1,139,265,908,496
  5. Step 5: Solve for x
    x = 1,139,265,908,496/486,981
  6. Step 6: Final answer
    x = 2,339,446.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.