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Finding the Third Proportional to 2,141,138 and 3,152,562

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Solution

The third proportional to 2,141,138 and 3,152,562 is: 4,641,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,138 : 3,152,562 = 3,152,562 : x
  2. Step 2: Convert to fraction form
    2,141,138/3,152,562 = 3,152,562/x
  3. Step 3: Cross multiply
    2,141,138x = 3,152,562 × 3,152,562
  4. Step 4: Simplify right side
    2,141,138x = 9,938,647,163,844
  5. Step 5: Solve for x
    x = 9,938,647,163,844/2,141,138
  6. Step 6: Final answer
    x = 4,641,759.27

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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.