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Finding the Third Proportional to 2,141,142 and 3,152,561

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Solution

The third proportional to 2,141,142 and 3,152,561 is: 4,641,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,142 : 3,152,561 = 3,152,561 : x
  2. Step 2: Convert to fraction form
    2,141,142/3,152,561 = 3,152,561/x
  3. Step 3: Cross multiply
    2,141,142x = 3,152,561 × 3,152,561
  4. Step 4: Simplify right side
    2,141,142x = 9,938,640,858,721
  5. Step 5: Solve for x
    x = 9,938,640,858,721/2,141,142
  6. Step 6: Final answer
    x = 4,641,747.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.