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Finding the Third Proportional to 816,074 and 1,224,111

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Solution

The third proportional to 816,074 and 1,224,111 is: 1,836,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,074 : 1,224,111 = 1,224,111 : x
  2. Step 2: Convert to fraction form
    816,074/1,224,111 = 1,224,111/x
  3. Step 3: Cross multiply
    816,074x = 1,224,111 × 1,224,111
  4. Step 4: Simplify right side
    816,074x = 1,498,447,740,321
  5. Step 5: Solve for x
    x = 1,498,447,740,321/816,074
  6. Step 6: Final answer
    x = 1,836,166.50

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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.