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Finding the Third Proportional to 1,624,151 and 2,270,595

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Solution

The third proportional to 1,624,151 and 2,270,595 is: 3,174,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,151 : 2,270,595 = 2,270,595 : x
  2. Step 2: Convert to fraction form
    1,624,151/2,270,595 = 2,270,595/x
  3. Step 3: Cross multiply
    1,624,151x = 2,270,595 × 2,270,595
  4. Step 4: Simplify right side
    1,624,151x = 5,155,601,654,025
  5. Step 5: Solve for x
    x = 5,155,601,654,025/1,624,151
  6. Step 6: Final answer
    x = 3,174,336.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.