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Finding the Third Proportional to 2,784,822 and 5,933,820

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Solution

The third proportional to 2,784,822 and 5,933,820 is: 12,643,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,822 : 5,933,820 = 5,933,820 : x
  2. Step 2: Convert to fraction form
    2,784,822/5,933,820 = 5,933,820/x
  3. Step 3: Cross multiply
    2,784,822x = 5,933,820 × 5,933,820
  4. Step 4: Simplify right side
    2,784,822x = 35,210,219,792,400
  5. Step 5: Solve for x
    x = 35,210,219,792,400/2,784,822
  6. Step 6: Final answer
    x = 12,643,615.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.