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Finding the Third Proportional to 690,204 and 1,476,364

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Solution

The third proportional to 690,204 and 1,476,364 is: 3,157,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,204 : 1,476,364 = 1,476,364 : x
  2. Step 2: Convert to fraction form
    690,204/1,476,364 = 1,476,364/x
  3. Step 3: Cross multiply
    690,204x = 1,476,364 × 1,476,364
  4. Step 4: Simplify right side
    690,204x = 2,179,650,660,496
  5. Step 5: Solve for x
    x = 2,179,650,660,496/690,204
  6. Step 6: Final answer
    x = 3,157,980.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.