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Finding the Third Proportional to 2,182,302 and 4,742,388

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Solution

The third proportional to 2,182,302 and 4,742,388 is: 10,305,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,302 : 4,742,388 = 4,742,388 : x
  2. Step 2: Convert to fraction form
    2,182,302/4,742,388 = 4,742,388/x
  3. Step 3: Cross multiply
    2,182,302x = 4,742,388 × 4,742,388
  4. Step 4: Simplify right side
    2,182,302x = 22,490,243,942,544
  5. Step 5: Solve for x
    x = 22,490,243,942,544/2,182,302
  6. Step 6: Final answer
    x = 10,305,743.18

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Why These Related Problems?

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