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Finding the Third Proportional to 982,462 and 1,562,269

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Solution

The third proportional to 982,462 and 1,562,269 is: 2,484,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,462 : 1,562,269 = 1,562,269 : x
  2. Step 2: Convert to fraction form
    982,462/1,562,269 = 1,562,269/x
  3. Step 3: Cross multiply
    982,462x = 1,562,269 × 1,562,269
  4. Step 4: Simplify right side
    982,462x = 2,440,684,428,361
  5. Step 5: Solve for x
    x = 2,440,684,428,361/982,462
  6. Step 6: Final answer
    x = 2,484,253.26

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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.