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Finding the Third Proportional to 774,176 and 1,672,908

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Solution

The third proportional to 774,176 and 1,672,908 is: 3,614,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,176 : 1,672,908 = 1,672,908 : x
  2. Step 2: Convert to fraction form
    774,176/1,672,908 = 1,672,908/x
  3. Step 3: Cross multiply
    774,176x = 1,672,908 × 1,672,908
  4. Step 4: Simplify right side
    774,176x = 2,798,621,176,464
  5. Step 5: Solve for x
    x = 2,798,621,176,464/774,176
  6. Step 6: Final answer
    x = 3,614,967.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.