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Finding the Third Proportional to 811,464 and 1,263,123

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Solution

The third proportional to 811,464 and 1,263,123 is: 1,966,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,464 : 1,263,123 = 1,263,123 : x
  2. Step 2: Convert to fraction form
    811,464/1,263,123 = 1,263,123/x
  3. Step 3: Cross multiply
    811,464x = 1,263,123 × 1,263,123
  4. Step 4: Simplify right side
    811,464x = 1,595,479,713,129
  5. Step 5: Solve for x
    x = 1,595,479,713,129/811,464
  6. Step 6: Final answer
    x = 1,966,174.36

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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.