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Finding the Third Proportional to 2,182,333 and 4,742,399

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Solution

The third proportional to 2,182,333 and 4,742,399 is: 10,305,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,333 : 4,742,399 = 4,742,399 : x
  2. Step 2: Convert to fraction form
    2,182,333/4,742,399 = 4,742,399/x
  3. Step 3: Cross multiply
    2,182,333x = 4,742,399 × 4,742,399
  4. Step 4: Simplify right side
    2,182,333x = 22,490,348,275,201
  5. Step 5: Solve for x
    x = 22,490,348,275,201/2,182,333
  6. Step 6: Final answer
    x = 10,305,644.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.