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Finding the Third Proportional to 787,839.75 and 1,234,590.19

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Solution

The third proportional to 787,839.75 and 1,234,590.19 is: 1,934,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,839.75 : 1,234,590.19 = 1,234,590.19 : x
  2. Step 2: Convert to fraction form
    787,839.75/1,234,590.19 = 1,234,590.19/x
  3. Step 3: Cross multiply
    787,839.75x = 1,234,590.19 × 1,234,590.19
  4. Step 4: Simplify right side
    787,839.75x = 1,524,212,931,071.29
  5. Step 5: Solve for x
    x = 1,524,212,931,071.29/787,839.75
  6. Step 6: Final answer
    x = 1,934,673.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.