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Finding the Third Proportional to 997,712 and 1,521,478

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Solution

The third proportional to 997,712 and 1,521,478 is: 2,320,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,712 : 1,521,478 = 1,521,478 : x
  2. Step 2: Convert to fraction form
    997,712/1,521,478 = 1,521,478/x
  3. Step 3: Cross multiply
    997,712x = 1,521,478 × 1,521,478
  4. Step 4: Simplify right side
    997,712x = 2,314,895,304,484
  5. Step 5: Solve for x
    x = 2,314,895,304,484/997,712
  6. Step 6: Final answer
    x = 2,320,203.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.