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Finding the Third Proportional to 905,692 and 1,332,289

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Solution

The third proportional to 905,692 and 1,332,289 is: 1,959,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,692 : 1,332,289 = 1,332,289 : x
  2. Step 2: Convert to fraction form
    905,692/1,332,289 = 1,332,289/x
  3. Step 3: Cross multiply
    905,692x = 1,332,289 × 1,332,289
  4. Step 4: Simplify right side
    905,692x = 1,774,993,979,521
  5. Step 5: Solve for x
    x = 1,774,993,979,521/905,692
  6. Step 6: Final answer
    x = 1,959,820.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.