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Finding the Third Proportional to 1,438,938 and 3,077,262

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Solution

The third proportional to 1,438,938 and 3,077,262 is: 6,580,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,938 : 3,077,262 = 3,077,262 : x
  2. Step 2: Convert to fraction form
    1,438,938/3,077,262 = 3,077,262/x
  3. Step 3: Cross multiply
    1,438,938x = 3,077,262 × 3,077,262
  4. Step 4: Simplify right side
    1,438,938x = 9,469,541,416,644
  5. Step 5: Solve for x
    x = 9,469,541,416,644/1,438,938
  6. Step 6: Final answer
    x = 6,580,923.86

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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.