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Finding the Third Proportional to 1,610,142 and 2,178,976

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Solution

The third proportional to 1,610,142 and 2,178,976 is: 2,948,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,142 : 2,178,976 = 2,178,976 : x
  2. Step 2: Convert to fraction form
    1,610,142/2,178,976 = 2,178,976/x
  3. Step 3: Cross multiply
    1,610,142x = 2,178,976 × 2,178,976
  4. Step 4: Simplify right side
    1,610,142x = 4,747,936,408,576
  5. Step 5: Solve for x
    x = 4,747,936,408,576/1,610,142
  6. Step 6: Final answer
    x = 2,948,768.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.