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Finding the Third Proportional to 4,189,200 and 6,553,368

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Solution

The third proportional to 4,189,200 and 6,553,368 is: 10,251,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,200 : 6,553,368 = 6,553,368 : x
  2. Step 2: Convert to fraction form
    4,189,200/6,553,368 = 6,553,368/x
  3. Step 3: Cross multiply
    4,189,200x = 6,553,368 × 6,553,368
  4. Step 4: Simplify right side
    4,189,200x = 42,946,632,143,424
  5. Step 5: Solve for x
    x = 42,946,632,143,424/4,189,200
  6. Step 6: Final answer
    x = 10,251,750.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.