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Finding the Third Proportional to 1,571,580 and 2,327,904

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Solution

The third proportional to 1,571,580 and 2,327,904 is: 3,448,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,580 : 2,327,904 = 2,327,904 : x
  2. Step 2: Convert to fraction form
    1,571,580/2,327,904 = 2,327,904/x
  3. Step 3: Cross multiply
    1,571,580x = 2,327,904 × 2,327,904
  4. Step 4: Simplify right side
    1,571,580x = 5,419,137,033,216
  5. Step 5: Solve for x
    x = 5,419,137,033,216/1,571,580
  6. Step 6: Final answer
    x = 3,448,209.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.