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Finding the Third Proportional to 2,797,598.25 and 4,206,782.25

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Solution

The third proportional to 2,797,598.25 and 4,206,782.25 is: 6,325,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797,598.25 : 4,206,782.25 = 4,206,782.25 : x
  2. Step 2: Convert to fraction form
    2,797,598.25/4,206,782.25 = 4,206,782.25/x
  3. Step 3: Cross multiply
    2,797,598.25x = 4,206,782.25 × 4,206,782.25
  4. Step 4: Simplify right side
    2,797,598.25x = 17,697,016,898,915.06
  5. Step 5: Solve for x
    x = 17,697,016,898,915.06/2,797,598.25
  6. Step 6: Final answer
    x = 6,325,789.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.