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Finding the Third Proportional to 2,321,973 and 3,414,708

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Solution

The third proportional to 2,321,973 and 3,414,708 is: 5,021,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,973 : 3,414,708 = 3,414,708 : x
  2. Step 2: Convert to fraction form
    2,321,973/3,414,708 = 3,414,708/x
  3. Step 3: Cross multiply
    2,321,973x = 3,414,708 × 3,414,708
  4. Step 4: Simplify right side
    2,321,973x = 11,660,230,725,264
  5. Step 5: Solve for x
    x = 11,660,230,725,264/2,321,973
  6. Step 6: Final answer
    x = 5,021,690.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.