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Finding the Third Proportional to 863,498 and 1,832,224

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Solution

The third proportional to 863,498 and 1,832,224 is: 3,887,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,498 : 1,832,224 = 1,832,224 : x
  2. Step 2: Convert to fraction form
    863,498/1,832,224 = 1,832,224/x
  3. Step 3: Cross multiply
    863,498x = 1,832,224 × 1,832,224
  4. Step 4: Simplify right side
    863,498x = 3,357,044,786,176
  5. Step 5: Solve for x
    x = 3,357,044,786,176/863,498
  6. Step 6: Final answer
    x = 3,887,727.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.