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Finding the Third Proportional to 811,488 and 1,187,184

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Solution

The third proportional to 811,488 and 1,187,184 is: 1,736,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,488 : 1,187,184 = 1,187,184 : x
  2. Step 2: Convert to fraction form
    811,488/1,187,184 = 1,187,184/x
  3. Step 3: Cross multiply
    811,488x = 1,187,184 × 1,187,184
  4. Step 4: Simplify right side
    811,488x = 1,409,405,849,856
  5. Step 5: Solve for x
    x = 1,409,405,849,856/811,488
  6. Step 6: Final answer
    x = 1,736,816.63

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