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Finding the Third Proportional to 1,438,470 and 2,072,025

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Solution

The third proportional to 1,438,470 and 2,072,025 is: 2,984,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,470 : 2,072,025 = 2,072,025 : x
  2. Step 2: Convert to fraction form
    1,438,470/2,072,025 = 2,072,025/x
  3. Step 3: Cross multiply
    1,438,470x = 2,072,025 × 2,072,025
  4. Step 4: Simplify right side
    1,438,470x = 4,293,287,600,625
  5. Step 5: Solve for x
    x = 4,293,287,600,625/1,438,470
  6. Step 6: Final answer
    x = 2,984,620.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.