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Finding the Third Proportional to 1,306,194 and 2,017,542

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Solution

The third proportional to 1,306,194 and 2,017,542 is: 3,116,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,194 : 2,017,542 = 2,017,542 : x
  2. Step 2: Convert to fraction form
    1,306,194/2,017,542 = 2,017,542/x
  3. Step 3: Cross multiply
    1,306,194x = 2,017,542 × 2,017,542
  4. Step 4: Simplify right side
    1,306,194x = 4,070,475,721,764
  5. Step 5: Solve for x
    x = 4,070,475,721,764/1,306,194
  6. Step 6: Final answer
    x = 3,116,287.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.