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Finding the Third Proportional to 692,898 and 1,565,025

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Solution

The third proportional to 692,898 and 1,565,025 is: 3,534,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,898 : 1,565,025 = 1,565,025 : x
  2. Step 2: Convert to fraction form
    692,898/1,565,025 = 1,565,025/x
  3. Step 3: Cross multiply
    692,898x = 1,565,025 × 1,565,025
  4. Step 4: Simplify right side
    692,898x = 2,449,303,250,625
  5. Step 5: Solve for x
    x = 2,449,303,250,625/692,898
  6. Step 6: Final answer
    x = 3,534,868.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.