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Finding the Third Proportional to 869,487 and 1,854,531

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Solution

The third proportional to 869,487 and 1,854,531 is: 3,955,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,487 : 1,854,531 = 1,854,531 : x
  2. Step 2: Convert to fraction form
    869,487/1,854,531 = 1,854,531/x
  3. Step 3: Cross multiply
    869,487x = 1,854,531 × 1,854,531
  4. Step 4: Simplify right side
    869,487x = 3,439,285,229,961
  5. Step 5: Solve for x
    x = 3,439,285,229,961/869,487
  6. Step 6: Final answer
    x = 3,955,533.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.