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Finding the Third Proportional to 5,200,782 and 8,084,434

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Solution

The third proportional to 5,200,782 and 8,084,434 is: 12,566,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,782 : 8,084,434 = 8,084,434 : x
  2. Step 2: Convert to fraction form
    5,200,782/8,084,434 = 8,084,434/x
  3. Step 3: Cross multiply
    5,200,782x = 8,084,434 × 8,084,434
  4. Step 4: Simplify right side
    5,200,782x = 65,358,073,100,356
  5. Step 5: Solve for x
    x = 65,358,073,100,356/5,200,782
  6. Step 6: Final answer
    x = 12,566,970.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.