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Finding the Third Proportional to 915,462 and 2,005,314

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Solution

The third proportional to 915,462 and 2,005,314 is: 4,392,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,462 : 2,005,314 = 2,005,314 : x
  2. Step 2: Convert to fraction form
    915,462/2,005,314 = 2,005,314/x
  3. Step 3: Cross multiply
    915,462x = 2,005,314 × 2,005,314
  4. Step 4: Simplify right side
    915,462x = 4,021,284,238,596
  5. Step 5: Solve for x
    x = 4,021,284,238,596/915,462
  6. Step 6: Final answer
    x = 4,392,628.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.