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Finding the Third Proportional to 658,774 and 1,438,024

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Solution

The third proportional to 658,774 and 1,438,024 is: 3,139,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,774 : 1,438,024 = 1,438,024 : x
  2. Step 2: Convert to fraction form
    658,774/1,438,024 = 1,438,024/x
  3. Step 3: Cross multiply
    658,774x = 1,438,024 × 1,438,024
  4. Step 4: Simplify right side
    658,774x = 2,067,913,024,576
  5. Step 5: Solve for x
    x = 2,067,913,024,576/658,774
  6. Step 6: Final answer
    x = 3,139,032.54

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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.