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Finding the Third Proportional to 865,212 and 1,863,534

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Solution

The third proportional to 865,212 and 1,863,534 is: 4,013,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,212 : 1,863,534 = 1,863,534 : x
  2. Step 2: Convert to fraction form
    865,212/1,863,534 = 1,863,534/x
  3. Step 3: Cross multiply
    865,212x = 1,863,534 × 1,863,534
  4. Step 4: Simplify right side
    865,212x = 3,472,758,969,156
  5. Step 5: Solve for x
    x = 3,472,758,969,156/865,212
  6. Step 6: Final answer
    x = 4,013,766.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.