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Finding the Third Proportional to 859,194.84 and 1,297,552.92

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Solution

The third proportional to 859,194.84 and 1,297,552.92 is: 1,959,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,194.84 : 1,297,552.92 = 1,297,552.92 : x
  2. Step 2: Convert to fraction form
    859,194.84/1,297,552.92 = 1,297,552.92/x
  3. Step 3: Cross multiply
    859,194.84x = 1,297,552.92 × 1,297,552.92
  4. Step 4: Simplify right side
    859,194.84x = 1,683,643,585,066.35
  5. Step 5: Solve for x
    x = 1,683,643,585,066.35/859,194.84
  6. Step 6: Final answer
    x = 1,959,559.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.