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Finding the Third Proportional to 427,624 and 923,048

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Solution

The third proportional to 427,624 and 923,048 is: 1,992,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,624 : 923,048 = 923,048 : x
  2. Step 2: Convert to fraction form
    427,624/923,048 = 923,048/x
  3. Step 3: Cross multiply
    427,624x = 923,048 × 923,048
  4. Step 4: Simplify right side
    427,624x = 852,017,610,304
  5. Step 5: Solve for x
    x = 852,017,610,304/427,624
  6. Step 6: Final answer
    x = 1,992,445.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.