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Finding the Third Proportional to 822,342.75 and 1,265,628

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Solution

The third proportional to 822,342.75 and 1,265,628 is: 1,947,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,342.75 : 1,265,628 = 1,265,628 : x
  2. Step 2: Convert to fraction form
    822,342.75/1,265,628 = 1,265,628/x
  3. Step 3: Cross multiply
    822,342.75x = 1,265,628 × 1,265,628
  4. Step 4: Simplify right side
    822,342.75x = 1,601,814,234,384
  5. Step 5: Solve for x
    x = 1,601,814,234,384/822,342.75
  6. Step 6: Final answer
    x = 1,947,866.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.