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Finding the Third Proportional to 787,684.50 and 1,717,934.06

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Solution

The third proportional to 787,684.50 and 1,717,934.06 is: 3,746,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,684.50 : 1,717,934.06 = 1,717,934.06 : x
  2. Step 2: Convert to fraction form
    787,684.50/1,717,934.06 = 1,717,934.06/x
  3. Step 3: Cross multiply
    787,684.50x = 1,717,934.06 × 1,717,934.06
  4. Step 4: Simplify right side
    787,684.50x = 2,951,297,443,097.75
  5. Step 5: Solve for x
    x = 2,951,297,443,097.75/787,684.50
  6. Step 6: Final answer
    x = 3,746,801.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.