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Finding the Third Proportional to 979,741 and 1,484,378

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Solution

The third proportional to 979,741 and 1,484,378 is: 2,248,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,741 : 1,484,378 = 1,484,378 : x
  2. Step 2: Convert to fraction form
    979,741/1,484,378 = 1,484,378/x
  3. Step 3: Cross multiply
    979,741x = 1,484,378 × 1,484,378
  4. Step 4: Simplify right side
    979,741x = 2,203,378,046,884
  5. Step 5: Solve for x
    x = 2,203,378,046,884/979,741
  6. Step 6: Final answer
    x = 2,248,939.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.