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Finding the Third Proportional to 2,065,576 and 3,129,276

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Solution

The third proportional to 2,065,576 and 3,129,276 is: 4,740,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,576 : 3,129,276 = 3,129,276 : x
  2. Step 2: Convert to fraction form
    2,065,576/3,129,276 = 3,129,276/x
  3. Step 3: Cross multiply
    2,065,576x = 3,129,276 × 3,129,276
  4. Step 4: Simplify right side
    2,065,576x = 9,792,368,284,176
  5. Step 5: Solve for x
    x = 9,792,368,284,176/2,065,576
  6. Step 6: Final answer
    x = 4,740,744.61

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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.