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Finding the Third Proportional to 2,375,501 and 3,227,409

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Solution

The third proportional to 2,375,501 and 3,227,409 is: 4,384,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,501 : 3,227,409 = 3,227,409 : x
  2. Step 2: Convert to fraction form
    2,375,501/3,227,409 = 3,227,409/x
  3. Step 3: Cross multiply
    2,375,501x = 3,227,409 × 3,227,409
  4. Step 4: Simplify right side
    2,375,501x = 10,416,168,853,281
  5. Step 5: Solve for x
    x = 10,416,168,853,281/2,375,501
  6. Step 6: Final answer
    x = 4,384,830.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.