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Finding the Third Proportional to 701,844.75 and 1,130,284.13

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Solution

The third proportional to 701,844.75 and 1,130,284.13 is: 1,820,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,844.75 : 1,130,284.13 = 1,130,284.13 : x
  2. Step 2: Convert to fraction form
    701,844.75/1,130,284.13 = 1,130,284.13/x
  3. Step 3: Cross multiply
    701,844.75x = 1,130,284.13 × 1,130,284.13
  4. Step 4: Simplify right side
    701,844.75x = 1,277,542,203,227.02
  5. Step 5: Solve for x
    x = 1,277,542,203,227.02/701,844.75
  6. Step 6: Final answer
    x = 1,820,263.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.