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Finding the Third Proportional to 451,946 and 982,534

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Solution

The third proportional to 451,946 and 982,534 is: 2,136,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,946 : 982,534 = 982,534 : x
  2. Step 2: Convert to fraction form
    451,946/982,534 = 982,534/x
  3. Step 3: Cross multiply
    451,946x = 982,534 × 982,534
  4. Step 4: Simplify right side
    451,946x = 965,373,061,156
  5. Step 5: Solve for x
    x = 965,373,061,156/451,946
  6. Step 6: Final answer
    x = 2,136,036.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.