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Finding the Third Proportional to 925,692 and 1,400,148

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Solution

The third proportional to 925,692 and 1,400,148 is: 2,117,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,692 : 1,400,148 = 1,400,148 : x
  2. Step 2: Convert to fraction form
    925,692/1,400,148 = 1,400,148/x
  3. Step 3: Cross multiply
    925,692x = 1,400,148 × 1,400,148
  4. Step 4: Simplify right side
    925,692x = 1,960,414,421,904
  5. Step 5: Solve for x
    x = 1,960,414,421,904/925,692
  6. Step 6: Final answer
    x = 2,117,782.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.