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Finding the Third Proportional to 1,304,728 and 1,837,340

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Solution

The third proportional to 1,304,728 and 1,837,340 is: 2,587,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,728 : 1,837,340 = 1,837,340 : x
  2. Step 2: Convert to fraction form
    1,304,728/1,837,340 = 1,837,340/x
  3. Step 3: Cross multiply
    1,304,728x = 1,837,340 × 1,837,340
  4. Step 4: Simplify right side
    1,304,728x = 3,375,818,275,600
  5. Step 5: Solve for x
    x = 3,375,818,275,600/1,304,728
  6. Step 6: Final answer
    x = 2,587,373.21

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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.