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Finding the Third Proportional to 594,969 and 1,221,619

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Solution

The third proportional to 594,969 and 1,221,619 is: 2,508,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,969 : 1,221,619 = 1,221,619 : x
  2. Step 2: Convert to fraction form
    594,969/1,221,619 = 1,221,619/x
  3. Step 3: Cross multiply
    594,969x = 1,221,619 × 1,221,619
  4. Step 4: Simplify right side
    594,969x = 1,492,352,981,161
  5. Step 5: Solve for x
    x = 1,492,352,981,161/594,969
  6. Step 6: Final answer
    x = 2,508,286.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.