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Finding the Third Proportional to 1,784,163 and 2,872,764

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Solution

The third proportional to 1,784,163 and 2,872,764 is: 4,625,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,163 : 2,872,764 = 2,872,764 : x
  2. Step 2: Convert to fraction form
    1,784,163/2,872,764 = 2,872,764/x
  3. Step 3: Cross multiply
    1,784,163x = 2,872,764 × 2,872,764
  4. Step 4: Simplify right side
    1,784,163x = 8,252,772,999,696
  5. Step 5: Solve for x
    x = 8,252,772,999,696/1,784,163
  6. Step 6: Final answer
    x = 4,625,571.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.