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Finding the Third Proportional to 454,824 and 982,032

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Solution

The third proportional to 454,824 and 982,032 is: 2,120,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,824 : 982,032 = 982,032 : x
  2. Step 2: Convert to fraction form
    454,824/982,032 = 982,032/x
  3. Step 3: Cross multiply
    454,824x = 982,032 × 982,032
  4. Step 4: Simplify right side
    454,824x = 964,386,849,024
  5. Step 5: Solve for x
    x = 964,386,849,024/454,824
  6. Step 6: Final answer
    x = 2,120,351.72

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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.