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Finding the Third Proportional to 3,084,784 and 6,684,399

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Solution

The third proportional to 3,084,784 and 6,684,399 is: 14,484,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,784 : 6,684,399 = 6,684,399 : x
  2. Step 2: Convert to fraction form
    3,084,784/6,684,399 = 6,684,399/x
  3. Step 3: Cross multiply
    3,084,784x = 6,684,399 × 6,684,399
  4. Step 4: Simplify right side
    3,084,784x = 44,681,189,991,201
  5. Step 5: Solve for x
    x = 44,681,189,991,201/3,084,784
  6. Step 6: Final answer
    x = 14,484,382.05

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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.