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Finding the Third Proportional to 2,091,422 and 4,566,622

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Solution

The third proportional to 2,091,422 and 4,566,622 is: 9,971,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,422 : 4,566,622 = 4,566,622 : x
  2. Step 2: Convert to fraction form
    2,091,422/4,566,622 = 4,566,622/x
  3. Step 3: Cross multiply
    2,091,422x = 4,566,622 × 4,566,622
  4. Step 4: Simplify right side
    2,091,422x = 20,854,036,490,884
  5. Step 5: Solve for x
    x = 20,854,036,490,884/2,091,422
  6. Step 6: Final answer
    x = 9,971,223.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.