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Finding the Third Proportional to 776,932 and 1,690,592

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Solution

The third proportional to 776,932 and 1,690,592 is: 3,678,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,932 : 1,690,592 = 1,690,592 : x
  2. Step 2: Convert to fraction form
    776,932/1,690,592 = 1,690,592/x
  3. Step 3: Cross multiply
    776,932x = 1,690,592 × 1,690,592
  4. Step 4: Simplify right side
    776,932x = 2,858,101,310,464
  5. Step 5: Solve for x
    x = 2,858,101,310,464/776,932
  6. Step 6: Final answer
    x = 3,678,702.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.