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Finding the Third Proportional to 843,005 and 1,285,491

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Solution

The third proportional to 843,005 and 1,285,491 is: 1,960,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,005 : 1,285,491 = 1,285,491 : x
  2. Step 2: Convert to fraction form
    843,005/1,285,491 = 1,285,491/x
  3. Step 3: Cross multiply
    843,005x = 1,285,491 × 1,285,491
  4. Step 4: Simplify right side
    843,005x = 1,652,487,111,081
  5. Step 5: Solve for x
    x = 1,652,487,111,081/843,005
  6. Step 6: Final answer
    x = 1,960,234.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.