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Finding the Third Proportional to 374,970 and 824,981

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Solution

The third proportional to 374,970 and 824,981 is: 1,815,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,970 : 824,981 = 824,981 : x
  2. Step 2: Convert to fraction form
    374,970/824,981 = 824,981/x
  3. Step 3: Cross multiply
    374,970x = 824,981 × 824,981
  4. Step 4: Simplify right side
    374,970x = 680,593,650,361
  5. Step 5: Solve for x
    x = 680,593,650,361/374,970
  6. Step 6: Final answer
    x = 1,815,061.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.