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Finding the Third Proportional to 692,598 and 1,040,901

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Solution

The third proportional to 692,598 and 1,040,901 is: 1,564,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,598 : 1,040,901 = 1,040,901 : x
  2. Step 2: Convert to fraction form
    692,598/1,040,901 = 1,040,901/x
  3. Step 3: Cross multiply
    692,598x = 1,040,901 × 1,040,901
  4. Step 4: Simplify right side
    692,598x = 1,083,474,891,801
  5. Step 5: Solve for x
    x = 1,083,474,891,801/692,598
  6. Step 6: Final answer
    x = 1,564,363.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.