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Finding the Third Proportional to 2,102,564 and 3,294,510

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Solution

The third proportional to 2,102,564 and 3,294,510 is: 5,162,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,564 : 3,294,510 = 3,294,510 : x
  2. Step 2: Convert to fraction form
    2,102,564/3,294,510 = 3,294,510/x
  3. Step 3: Cross multiply
    2,102,564x = 3,294,510 × 3,294,510
  4. Step 4: Simplify right side
    2,102,564x = 10,853,796,140,100
  5. Step 5: Solve for x
    x = 10,853,796,140,100/2,102,564
  6. Step 6: Final answer
    x = 5,162,171.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.