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Finding the Third Proportional to 853,568 and 1,864,624

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Solution

The third proportional to 853,568 and 1,864,624 is: 4,073,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,568 : 1,864,624 = 1,864,624 : x
  2. Step 2: Convert to fraction form
    853,568/1,864,624 = 1,864,624/x
  3. Step 3: Cross multiply
    853,568x = 1,864,624 × 1,864,624
  4. Step 4: Simplify right side
    853,568x = 3,476,822,661,376
  5. Step 5: Solve for x
    x = 3,476,822,661,376/853,568
  6. Step 6: Final answer
    x = 4,073,281.40

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