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Finding the Third Proportional to 2,102,160 and 3,246,399

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Solution

The third proportional to 2,102,160 and 3,246,399 is: 5,013,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,160 : 3,246,399 = 3,246,399 : x
  2. Step 2: Convert to fraction form
    2,102,160/3,246,399 = 3,246,399/x
  3. Step 3: Cross multiply
    2,102,160x = 3,246,399 × 3,246,399
  4. Step 4: Simplify right side
    2,102,160x = 10,539,106,467,201
  5. Step 5: Solve for x
    x = 10,539,106,467,201/2,102,160
  6. Step 6: Final answer
    x = 5,013,465.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.