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Finding the Third Proportional to 982,542 and 1,562,388

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Solution

The third proportional to 982,542 and 1,562,388 is: 2,484,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,542 : 1,562,388 = 1,562,388 : x
  2. Step 2: Convert to fraction form
    982,542/1,562,388 = 1,562,388/x
  3. Step 3: Cross multiply
    982,542x = 1,562,388 × 1,562,388
  4. Step 4: Simplify right side
    982,542x = 2,441,056,262,544
  5. Step 5: Solve for x
    x = 2,441,056,262,544/982,542
  6. Step 6: Final answer
    x = 2,484,429.43

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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.