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Finding the Third Proportional to 811,472 and 1,263,135

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Solution

The third proportional to 811,472 and 1,263,135 is: 1,966,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,472 : 1,263,135 = 1,263,135 : x
  2. Step 2: Convert to fraction form
    811,472/1,263,135 = 1,263,135/x
  3. Step 3: Cross multiply
    811,472x = 1,263,135 × 1,263,135
  4. Step 4: Simplify right side
    811,472x = 1,595,510,028,225
  5. Step 5: Solve for x
    x = 1,595,510,028,225/811,472
  6. Step 6: Final answer
    x = 1,966,192.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.