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Finding the Third Proportional to 2,129,562 and 3,216,523

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Solution

The third proportional to 2,129,562 and 3,216,523 is: 4,858,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,562 : 3,216,523 = 3,216,523 : x
  2. Step 2: Convert to fraction form
    2,129,562/3,216,523 = 3,216,523/x
  3. Step 3: Cross multiply
    2,129,562x = 3,216,523 × 3,216,523
  4. Step 4: Simplify right side
    2,129,562x = 10,346,020,209,529
  5. Step 5: Solve for x
    x = 10,346,020,209,529/2,129,562
  6. Step 6: Final answer
    x = 4,858,285.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.