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Finding the Third Proportional to 463,552 and 976,920

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Solution

The third proportional to 463,552 and 976,920 is: 2,058,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,552 : 976,920 = 976,920 : x
  2. Step 2: Convert to fraction form
    463,552/976,920 = 976,920/x
  3. Step 3: Cross multiply
    463,552x = 976,920 × 976,920
  4. Step 4: Simplify right side
    463,552x = 954,372,686,400
  5. Step 5: Solve for x
    x = 954,372,686,400/463,552
  6. Step 6: Final answer
    x = 2,058,825.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.