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Finding the Third Proportional to 1,410,202 and 2,148,351

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Solution

The third proportional to 1,410,202 and 2,148,351 is: 3,272,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,202 : 2,148,351 = 2,148,351 : x
  2. Step 2: Convert to fraction form
    1,410,202/2,148,351 = 2,148,351/x
  3. Step 3: Cross multiply
    1,410,202x = 2,148,351 × 2,148,351
  4. Step 4: Simplify right side
    1,410,202x = 4,615,412,019,201
  5. Step 5: Solve for x
    x = 4,615,412,019,201/1,410,202
  6. Step 6: Final answer
    x = 3,272,872.98

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Why These Related Problems?

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