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Finding the Third Proportional to 984,340 and 1,496,418

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Solution

The third proportional to 984,340 and 1,496,418 is: 2,274,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,340 : 1,496,418 = 1,496,418 : x
  2. Step 2: Convert to fraction form
    984,340/1,496,418 = 1,496,418/x
  3. Step 3: Cross multiply
    984,340x = 1,496,418 × 1,496,418
  4. Step 4: Simplify right side
    984,340x = 2,239,266,830,724
  5. Step 5: Solve for x
    x = 2,239,266,830,724/984,340
  6. Step 6: Final answer
    x = 2,274,891.63

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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.