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Finding the Third Proportional to 1,577,928 and 2,232,754

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Solution

The third proportional to 1,577,928 and 2,232,754 is: 3,159,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,928 : 2,232,754 = 2,232,754 : x
  2. Step 2: Convert to fraction form
    1,577,928/2,232,754 = 2,232,754/x
  3. Step 3: Cross multiply
    1,577,928x = 2,232,754 × 2,232,754
  4. Step 4: Simplify right side
    1,577,928x = 4,985,190,424,516
  5. Step 5: Solve for x
    x = 4,985,190,424,516/1,577,928
  6. Step 6: Final answer
    x = 3,159,326.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.