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Finding the Third Proportional to 819,441 and 1,285,460

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Solution

The third proportional to 819,441 and 1,285,460 is: 2,016,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,441 : 1,285,460 = 1,285,460 : x
  2. Step 2: Convert to fraction form
    819,441/1,285,460 = 1,285,460/x
  3. Step 3: Cross multiply
    819,441x = 1,285,460 × 1,285,460
  4. Step 4: Simplify right side
    819,441x = 1,652,407,411,600
  5. Step 5: Solve for x
    x = 1,652,407,411,600/819,441
  6. Step 6: Final answer
    x = 2,016,505.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.