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Finding the Third Proportional to 690,498 and 1,476,936

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Solution

The third proportional to 690,498 and 1,476,936 is: 3,159,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,498 : 1,476,936 = 1,476,936 : x
  2. Step 2: Convert to fraction form
    690,498/1,476,936 = 1,476,936/x
  3. Step 3: Cross multiply
    690,498x = 1,476,936 × 1,476,936
  4. Step 4: Simplify right side
    690,498x = 2,181,339,948,096
  5. Step 5: Solve for x
    x = 2,181,339,948,096/690,498
  6. Step 6: Final answer
    x = 3,159,082.21

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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.