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Finding the Third Proportional to 633,721 and 1,366,981

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Solution

The third proportional to 633,721 and 1,366,981 is: 2,948,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,721 : 1,366,981 = 1,366,981 : x
  2. Step 2: Convert to fraction form
    633,721/1,366,981 = 1,366,981/x
  3. Step 3: Cross multiply
    633,721x = 1,366,981 × 1,366,981
  4. Step 4: Simplify right side
    633,721x = 1,868,637,054,361
  5. Step 5: Solve for x
    x = 1,868,637,054,361/633,721
  6. Step 6: Final answer
    x = 2,948,674.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.