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Finding the Third Proportional to 972,506.25 and 2,094,822

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Solution

The third proportional to 972,506.25 and 2,094,822 is: 4,512,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,506.25 : 2,094,822 = 2,094,822 : x
  2. Step 2: Convert to fraction form
    972,506.25/2,094,822 = 2,094,822/x
  3. Step 3: Cross multiply
    972,506.25x = 2,094,822 × 2,094,822
  4. Step 4: Simplify right side
    972,506.25x = 4,388,279,211,684
  5. Step 5: Solve for x
    x = 4,388,279,211,684/972,506.25
  6. Step 6: Final answer
    x = 4,512,340.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.