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Finding the Third Proportional to 982,466 and 1,562,275

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Solution

The third proportional to 982,466 and 1,562,275 is: 2,484,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,466 : 1,562,275 = 1,562,275 : x
  2. Step 2: Convert to fraction form
    982,466/1,562,275 = 1,562,275/x
  3. Step 3: Cross multiply
    982,466x = 1,562,275 × 1,562,275
  4. Step 4: Simplify right side
    982,466x = 2,440,703,175,625
  5. Step 5: Solve for x
    x = 2,440,703,175,625/982,466
  6. Step 6: Final answer
    x = 2,484,262.23

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Why These Related Problems?

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