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Finding the Third Proportional to 811,516 and 1,187,226

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Solution

The third proportional to 811,516 and 1,187,226 is: 1,736,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,516 : 1,187,226 = 1,187,226 : x
  2. Step 2: Convert to fraction form
    811,516/1,187,226 = 1,187,226/x
  3. Step 3: Cross multiply
    811,516x = 1,187,226 × 1,187,226
  4. Step 4: Simplify right side
    811,516x = 1,409,505,575,076
  5. Step 5: Solve for x
    x = 1,409,505,575,076/811,516
  6. Step 6: Final answer
    x = 1,736,879.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.