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Finding the Third Proportional to 982,464 and 1,562,272

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Solution

The third proportional to 982,464 and 1,562,272 is: 2,484,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,464 : 1,562,272 = 1,562,272 : x
  2. Step 2: Convert to fraction form
    982,464/1,562,272 = 1,562,272/x
  3. Step 3: Cross multiply
    982,464x = 1,562,272 × 1,562,272
  4. Step 4: Simplify right side
    982,464x = 2,440,693,801,984
  5. Step 5: Solve for x
    x = 2,440,693,801,984/982,464
  6. Step 6: Final answer
    x = 2,484,257.75

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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.