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Finding the Third Proportional to 677,928 and 1,492,048

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Solution

The third proportional to 677,928 and 1,492,048 is: 3,283,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,928 : 1,492,048 = 1,492,048 : x
  2. Step 2: Convert to fraction form
    677,928/1,492,048 = 1,492,048/x
  3. Step 3: Cross multiply
    677,928x = 1,492,048 × 1,492,048
  4. Step 4: Simplify right side
    677,928x = 2,226,207,234,304
  5. Step 5: Solve for x
    x = 2,226,207,234,304/677,928
  6. Step 6: Final answer
    x = 3,283,840.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.