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Finding the Third Proportional to 1,263,588 and 2,982,902

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Solution

The third proportional to 1,263,588 and 2,982,902 is: 7,041,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,588 : 2,982,902 = 2,982,902 : x
  2. Step 2: Convert to fraction form
    1,263,588/2,982,902 = 2,982,902/x
  3. Step 3: Cross multiply
    1,263,588x = 2,982,902 × 2,982,902
  4. Step 4: Simplify right side
    1,263,588x = 8,897,704,341,604
  5. Step 5: Solve for x
    x = 8,897,704,341,604/1,263,588
  6. Step 6: Final answer
    x = 7,041,618.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.