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Finding the Third Proportional to 3,084,782 and 6,684,406

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Solution

The third proportional to 3,084,782 and 6,684,406 is: 14,484,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,782 : 6,684,406 = 6,684,406 : x
  2. Step 2: Convert to fraction form
    3,084,782/6,684,406 = 6,684,406/x
  3. Step 3: Cross multiply
    3,084,782x = 6,684,406 × 6,684,406
  4. Step 4: Simplify right side
    3,084,782x = 44,681,283,572,836
  5. Step 5: Solve for x
    x = 44,681,283,572,836/3,084,782
  6. Step 6: Final answer
    x = 14,484,421.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.