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Finding the Third Proportional to 658,782 and 1,438,038

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Solution

The third proportional to 658,782 and 1,438,038 is: 3,139,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,782 : 1,438,038 = 1,438,038 : x
  2. Step 2: Convert to fraction form
    658,782/1,438,038 = 1,438,038/x
  3. Step 3: Cross multiply
    658,782x = 1,438,038 × 1,438,038
  4. Step 4: Simplify right side
    658,782x = 2,067,953,289,444
  5. Step 5: Solve for x
    x = 2,067,953,289,444/658,782
  6. Step 6: Final answer
    x = 3,139,055.54

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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.