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Finding the Third Proportional to 1,779,428.25 and 4,198,797

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Solution

The third proportional to 1,779,428.25 and 4,198,797 is: 9,907,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,428.25 : 4,198,797 = 4,198,797 : x
  2. Step 2: Convert to fraction form
    1,779,428.25/4,198,797 = 4,198,797/x
  3. Step 3: Cross multiply
    1,779,428.25x = 4,198,797 × 4,198,797
  4. Step 4: Simplify right side
    1,779,428.25x = 17,629,896,247,209
  5. Step 5: Solve for x
    x = 17,629,896,247,209/1,779,428.25
  6. Step 6: Final answer
    x = 9,907,618.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.