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Finding the Third Proportional to 2,241,704 and 4,642,928

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Solution

The third proportional to 2,241,704 and 4,642,928 is: 9,616,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,704 : 4,642,928 = 4,642,928 : x
  2. Step 2: Convert to fraction form
    2,241,704/4,642,928 = 4,642,928/x
  3. Step 3: Cross multiply
    2,241,704x = 4,642,928 × 4,642,928
  4. Step 4: Simplify right side
    2,241,704x = 21,556,780,413,184
  5. Step 5: Solve for x
    x = 21,556,780,413,184/2,241,704
  6. Step 6: Final answer
    x = 9,616,247.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.