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Finding the Third Proportional to 3,084,820 and 6,684,472

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Solution

The third proportional to 3,084,820 and 6,684,472 is: 14,484,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,820 : 6,684,472 = 6,684,472 : x
  2. Step 2: Convert to fraction form
    3,084,820/6,684,472 = 6,684,472/x
  3. Step 3: Cross multiply
    3,084,820x = 6,684,472 × 6,684,472
  4. Step 4: Simplify right side
    3,084,820x = 44,682,165,918,784
  5. Step 5: Solve for x
    x = 44,682,165,918,784/3,084,820
  6. Step 6: Final answer
    x = 14,484,529.38

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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.