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Finding the Third Proportional to 1,122,470 and 2,462,256

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Solution

The third proportional to 1,122,470 and 2,462,256 is: 5,401,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,470 : 2,462,256 = 2,462,256 : x
  2. Step 2: Convert to fraction form
    1,122,470/2,462,256 = 2,462,256/x
  3. Step 3: Cross multiply
    1,122,470x = 2,462,256 × 2,462,256
  4. Step 4: Simplify right side
    1,122,470x = 6,062,704,609,536
  5. Step 5: Solve for x
    x = 6,062,704,609,536/1,122,470
  6. Step 6: Final answer
    x = 5,401,217.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.