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Finding the Third Proportional to 1,965,710 and 2,962,413

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Solution

The third proportional to 1,965,710 and 2,962,413 is: 4,464,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,710 : 2,962,413 = 2,962,413 : x
  2. Step 2: Convert to fraction form
    1,965,710/2,962,413 = 2,962,413/x
  3. Step 3: Cross multiply
    1,965,710x = 2,962,413 × 2,962,413
  4. Step 4: Simplify right side
    1,965,710x = 8,775,890,782,569
  5. Step 5: Solve for x
    x = 8,775,890,782,569/1,965,710
  6. Step 6: Final answer
    x = 4,464,489.06

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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.