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Finding the Third Proportional to 811,504 and 1,187,208

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Solution

The third proportional to 811,504 and 1,187,208 is: 1,736,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,504 : 1,187,208 = 1,187,208 : x
  2. Step 2: Convert to fraction form
    811,504/1,187,208 = 1,187,208/x
  3. Step 3: Cross multiply
    811,504x = 1,187,208 × 1,187,208
  4. Step 4: Simplify right side
    811,504x = 1,409,462,835,264
  5. Step 5: Solve for x
    x = 1,409,462,835,264/811,504
  6. Step 6: Final answer
    x = 1,736,852.60

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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.