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Finding the Third Proportional to 2,243,396.25 and 3,480,320.25

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Solution

The third proportional to 2,243,396.25 and 3,480,320.25 is: 5,399,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,396.25 : 3,480,320.25 = 3,480,320.25 : x
  2. Step 2: Convert to fraction form
    2,243,396.25/3,480,320.25 = 3,480,320.25/x
  3. Step 3: Cross multiply
    2,243,396.25x = 3,480,320.25 × 3,480,320.25
  4. Step 4: Simplify right side
    2,243,396.25x = 12,112,629,042,560.06
  5. Step 5: Solve for x
    x = 12,112,629,042,560.06/2,243,396.25
  6. Step 6: Final answer
    x = 5,399,237.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.