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Finding the Third Proportional to 828,430.50 and 1,787,230.50

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Solution

The third proportional to 828,430.50 and 1,787,230.50 is: 3,855,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,430.50 : 1,787,230.50 = 1,787,230.50 : x
  2. Step 2: Convert to fraction form
    828,430.50/1,787,230.50 = 1,787,230.50/x
  3. Step 3: Cross multiply
    828,430.50x = 1,787,230.50 × 1,787,230.50
  4. Step 4: Simplify right side
    828,430.50x = 3,194,192,860,130.25
  5. Step 5: Solve for x
    x = 3,194,192,860,130.25/828,430.50
  6. Step 6: Final answer
    x = 3,855,716.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.