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Finding the Third Proportional to 1,605,408 and 2,186,640

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Solution

The third proportional to 1,605,408 and 2,186,640 is: 2,978,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,408 : 2,186,640 = 2,186,640 : x
  2. Step 2: Convert to fraction form
    1,605,408/2,186,640 = 2,186,640/x
  3. Step 3: Cross multiply
    1,605,408x = 2,186,640 × 2,186,640
  4. Step 4: Simplify right side
    1,605,408x = 4,781,394,489,600
  5. Step 5: Solve for x
    x = 4,781,394,489,600/1,605,408
  6. Step 6: Final answer
    x = 2,978,304.89

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.