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Finding the Third Proportional to 1,205,753 and 1,865,306

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Solution

The third proportional to 1,205,753 and 1,865,306 is: 2,885,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,753 : 1,865,306 = 1,865,306 : x
  2. Step 2: Convert to fraction form
    1,205,753/1,865,306 = 1,865,306/x
  3. Step 3: Cross multiply
    1,205,753x = 1,865,306 × 1,865,306
  4. Step 4: Simplify right side
    1,205,753x = 3,479,366,473,636
  5. Step 5: Solve for x
    x = 3,479,366,473,636/1,205,753
  6. Step 6: Final answer
    x = 2,885,637.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.