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Finding the Third Proportional to 532,271.25 and 1,134,220.22

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Solution

The third proportional to 532,271.25 and 1,134,220.22 is: 2,416,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,271.25 : 1,134,220.22 = 1,134,220.22 : x
  2. Step 2: Convert to fraction form
    532,271.25/1,134,220.22 = 1,134,220.22/x
  3. Step 3: Cross multiply
    532,271.25x = 1,134,220.22 × 1,134,220.22
  4. Step 4: Simplify right side
    532,271.25x = 1,286,455,504,621.30
  5. Step 5: Solve for x
    x = 1,286,455,504,621.30/532,271.25
  6. Step 6: Final answer
    x = 2,416,917.14

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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.