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Finding the Third Proportional to 2,864,568 and 6,024,048

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Solution

The third proportional to 2,864,568 and 6,024,048 is: 12,668,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,568 : 6,024,048 = 6,024,048 : x
  2. Step 2: Convert to fraction form
    2,864,568/6,024,048 = 6,024,048/x
  3. Step 3: Cross multiply
    2,864,568x = 6,024,048 × 6,024,048
  4. Step 4: Simplify right side
    2,864,568x = 36,289,154,306,304
  5. Step 5: Solve for x
    x = 36,289,154,306,304/2,864,568
  6. Step 6: Final answer
    x = 12,668,281.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.