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Finding the Third Proportional to 1,223,216.44 and 2,648,029.85

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Solution

The third proportional to 1,223,216.44 and 2,648,029.85 is: 5,732,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,216.44 : 2,648,029.85 = 2,648,029.85 : x
  2. Step 2: Convert to fraction form
    1,223,216.44/2,648,029.85 = 2,648,029.85/x
  3. Step 3: Cross multiply
    1,223,216.44x = 2,648,029.85 × 2,648,029.85
  4. Step 4: Simplify right side
    1,223,216.44x = 7,012,062,094,766.12
  5. Step 5: Solve for x
    x = 7,012,062,094,766.12/1,223,216.44
  6. Step 6: Final answer
    x = 5,732,478.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.