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Finding the Third Proportional to 2,241,705 and 4,642,930

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Solution

The third proportional to 2,241,705 and 4,642,930 is: 9,616,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,705 : 4,642,930 = 4,642,930 : x
  2. Step 2: Convert to fraction form
    2,241,705/4,642,930 = 4,642,930/x
  3. Step 3: Cross multiply
    2,241,705x = 4,642,930 × 4,642,930
  4. Step 4: Simplify right side
    2,241,705x = 21,556,798,984,900
  5. Step 5: Solve for x
    x = 21,556,798,984,900/2,241,705
  6. Step 6: Final answer
    x = 9,616,251.46

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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.