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Finding the Third Proportional to 2,102,148 and 3,205,710

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Solution

The third proportional to 2,102,148 and 3,205,710 is: 4,888,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,148 : 3,205,710 = 3,205,710 : x
  2. Step 2: Convert to fraction form
    2,102,148/3,205,710 = 3,205,710/x
  3. Step 3: Cross multiply
    2,102,148x = 3,205,710 × 3,205,710
  4. Step 4: Simplify right side
    2,102,148x = 10,276,576,604,100
  5. Step 5: Solve for x
    x = 10,276,576,604,100/2,102,148
  6. Step 6: Final answer
    x = 4,888,607.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.