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Finding the Third Proportional to 982,443 and 1,562,231

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Solution

The third proportional to 982,443 and 1,562,231 is: 2,484,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,443 : 1,562,231 = 1,562,231 : x
  2. Step 2: Convert to fraction form
    982,443/1,562,231 = 1,562,231/x
  3. Step 3: Cross multiply
    982,443x = 1,562,231 × 1,562,231
  4. Step 4: Simplify right side
    982,443x = 2,440,565,697,361
  5. Step 5: Solve for x
    x = 2,440,565,697,361/982,443
  6. Step 6: Final answer
    x = 2,484,180.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.