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Finding the Third Proportional to 1,238,706 and 1,744,308

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Solution

The third proportional to 1,238,706 and 1,744,308 is: 2,456,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,706 : 1,744,308 = 1,744,308 : x
  2. Step 2: Convert to fraction form
    1,238,706/1,744,308 = 1,744,308/x
  3. Step 3: Cross multiply
    1,238,706x = 1,744,308 × 1,744,308
  4. Step 4: Simplify right side
    1,238,706x = 3,042,610,398,864
  5. Step 5: Solve for x
    x = 3,042,610,398,864/1,238,706
  6. Step 6: Final answer
    x = 2,456,281.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.