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Finding the Third Proportional to 1,453,470 and 2,231,052

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Solution

The third proportional to 1,453,470 and 2,231,052 is: 3,424,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,470 : 2,231,052 = 2,231,052 : x
  2. Step 2: Convert to fraction form
    1,453,470/2,231,052 = 2,231,052/x
  3. Step 3: Cross multiply
    1,453,470x = 2,231,052 × 2,231,052
  4. Step 4: Simplify right side
    1,453,470x = 4,977,593,026,704
  5. Step 5: Solve for x
    x = 4,977,593,026,704/1,453,470
  6. Step 6: Final answer
    x = 3,424,627.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.