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Finding the Third Proportional to 415,603.41 and 897,515.44

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Solution

The third proportional to 415,603.41 and 897,515.44 is: 1,938,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,603.41 : 897,515.44 = 897,515.44 : x
  2. Step 2: Convert to fraction form
    415,603.41/897,515.44 = 897,515.44/x
  3. Step 3: Cross multiply
    415,603.41x = 897,515.44 × 897,515.44
  4. Step 4: Simplify right side
    415,603.41x = 805,533,960,550.82
  5. Step 5: Solve for x
    x = 805,533,960,550.82/415,603.41
  6. Step 6: Final answer
    x = 1,938,227.52

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