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Finding the Third Proportional to 633,824 and 1,381,376

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Solution

The third proportional to 633,824 and 1,381,376 is: 3,010,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,824 : 1,381,376 = 1,381,376 : x
  2. Step 2: Convert to fraction form
    633,824/1,381,376 = 1,381,376/x
  3. Step 3: Cross multiply
    633,824x = 1,381,376 × 1,381,376
  4. Step 4: Simplify right side
    633,824x = 1,908,199,653,376
  5. Step 5: Solve for x
    x = 1,908,199,653,376/633,824
  6. Step 6: Final answer
    x = 3,010,614.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.