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Finding the Third Proportional to 865,210 and 1,863,530

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Solution

The third proportional to 865,210 and 1,863,530 is: 4,013,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,210 : 1,863,530 = 1,863,530 : x
  2. Step 2: Convert to fraction form
    865,210/1,863,530 = 1,863,530/x
  3. Step 3: Cross multiply
    865,210x = 1,863,530 × 1,863,530
  4. Step 4: Simplify right side
    865,210x = 3,472,744,060,900
  5. Step 5: Solve for x
    x = 3,472,744,060,900/865,210
  6. Step 6: Final answer
    x = 4,013,758.58

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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.