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Finding the Third Proportional to 832,363 and 1,246,266

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Solution

The third proportional to 832,363 and 1,246,266 is: 1,865,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,363 : 1,246,266 = 1,246,266 : x
  2. Step 2: Convert to fraction form
    832,363/1,246,266 = 1,246,266/x
  3. Step 3: Cross multiply
    832,363x = 1,246,266 × 1,246,266
  4. Step 4: Simplify right side
    832,363x = 1,553,178,942,756
  5. Step 5: Solve for x
    x = 1,553,178,942,756/832,363
  6. Step 6: Final answer
    x = 1,865,987.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.