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Finding the Third Proportional to 2,000,694.94 and 4,210,464.80

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Solution

The third proportional to 2,000,694.94 and 4,210,464.80 is: 8,860,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,694.94 : 4,210,464.80 = 4,210,464.80 : x
  2. Step 2: Convert to fraction form
    2,000,694.94/4,210,464.80 = 4,210,464.80/x
  3. Step 3: Cross multiply
    2,000,694.94x = 4,210,464.80 × 4,210,464.80
  4. Step 4: Simplify right side
    2,000,694.94x = 17,728,013,805,723.64
  5. Step 5: Solve for x
    x = 17,728,013,805,723.64/2,000,694.94
  6. Step 6: Final answer
    x = 8,860,928.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.