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Finding the Third Proportional to 1,022,560 and 2,224,686

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Solution

The third proportional to 1,022,560 and 2,224,686 is: 4,840,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,560 : 2,224,686 = 2,224,686 : x
  2. Step 2: Convert to fraction form
    1,022,560/2,224,686 = 2,224,686/x
  3. Step 3: Cross multiply
    1,022,560x = 2,224,686 × 2,224,686
  4. Step 4: Simplify right side
    1,022,560x = 4,949,227,798,596
  5. Step 5: Solve for x
    x = 4,949,227,798,596/1,022,560
  6. Step 6: Final answer
    x = 4,840,036.57

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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.