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Finding the Third Proportional to 902,644 and 1,982,428

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Solution

The third proportional to 902,644 and 1,982,428 is: 4,353,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,644 : 1,982,428 = 1,982,428 : x
  2. Step 2: Convert to fraction form
    902,644/1,982,428 = 1,982,428/x
  3. Step 3: Cross multiply
    902,644x = 1,982,428 × 1,982,428
  4. Step 4: Simplify right side
    902,644x = 3,930,020,775,184
  5. Step 5: Solve for x
    x = 3,930,020,775,184/902,644
  6. Step 6: Final answer
    x = 4,353,898.96

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