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Finding the Third Proportional to 811,518.75 and 1,168,921.13

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Solution

The third proportional to 811,518.75 and 1,168,921.13 is: 1,683,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,518.75 : 1,168,921.13 = 1,168,921.13 : x
  2. Step 2: Convert to fraction form
    811,518.75/1,168,921.13 = 1,168,921.13/x
  3. Step 3: Cross multiply
    811,518.75x = 1,168,921.13 × 1,168,921.13
  4. Step 4: Simplify right side
    811,518.75x = 1,366,376,596,471.27
  5. Step 5: Solve for x
    x = 1,366,376,596,471.27/811,518.75
  6. Step 6: Final answer
    x = 1,683,727.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.