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Finding the Third Proportional to 653,334 and 983,802

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Solution

The third proportional to 653,334 and 983,802 is: 1,481,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,334 : 983,802 = 983,802 : x
  2. Step 2: Convert to fraction form
    653,334/983,802 = 983,802/x
  3. Step 3: Cross multiply
    653,334x = 983,802 × 983,802
  4. Step 4: Simplify right side
    653,334x = 967,866,375,204
  5. Step 5: Solve for x
    x = 967,866,375,204/653,334
  6. Step 6: Final answer
    x = 1,481,426.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.