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Finding the Third Proportional to 690,474 and 1,476,894

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Solution

The third proportional to 690,474 and 1,476,894 is: 3,159,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,474 : 1,476,894 = 1,476,894 : x
  2. Step 2: Convert to fraction form
    690,474/1,476,894 = 1,476,894/x
  3. Step 3: Cross multiply
    690,474x = 1,476,894 × 1,476,894
  4. Step 4: Simplify right side
    690,474x = 2,181,215,887,236
  5. Step 5: Solve for x
    x = 2,181,215,887,236/690,474
  6. Step 6: Final answer
    x = 3,159,012.34

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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.