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Finding the Third Proportional to 776,774 and 1,665,436

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Solution

The third proportional to 776,774 and 1,665,436 is: 3,570,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,774 : 1,665,436 = 1,665,436 : x
  2. Step 2: Convert to fraction form
    776,774/1,665,436 = 1,665,436/x
  3. Step 3: Cross multiply
    776,774x = 1,665,436 × 1,665,436
  4. Step 4: Simplify right side
    776,774x = 2,773,677,070,096
  5. Step 5: Solve for x
    x = 2,773,677,070,096/776,774
  6. Step 6: Final answer
    x = 3,570,764.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.