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Finding the Third Proportional to 979,400 and 1,497,243

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Solution

The third proportional to 979,400 and 1,497,243 is: 2,288,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,400 : 1,497,243 = 1,497,243 : x
  2. Step 2: Convert to fraction form
    979,400/1,497,243 = 1,497,243/x
  3. Step 3: Cross multiply
    979,400x = 1,497,243 × 1,497,243
  4. Step 4: Simplify right side
    979,400x = 2,241,736,601,049
  5. Step 5: Solve for x
    x = 2,241,736,601,049/979,400
  6. Step 6: Final answer
    x = 2,288,887.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.