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Finding the Third Proportional to 2,077,410 and 3,107,816

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Solution

The third proportional to 2,077,410 and 3,107,816 is: 4,649,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,410 : 3,107,816 = 3,107,816 : x
  2. Step 2: Convert to fraction form
    2,077,410/3,107,816 = 3,107,816/x
  3. Step 3: Cross multiply
    2,077,410x = 3,107,816 × 3,107,816
  4. Step 4: Simplify right side
    2,077,410x = 9,658,520,289,856
  5. Step 5: Solve for x
    x = 9,658,520,289,856/2,077,410
  6. Step 6: Final answer
    x = 4,649,308.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.