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Finding the Third Proportional to 1,447,728 and 2,254,320

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Solution

The third proportional to 1,447,728 and 2,254,320 is: 3,510,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,728 : 2,254,320 = 2,254,320 : x
  2. Step 2: Convert to fraction form
    1,447,728/2,254,320 = 2,254,320/x
  3. Step 3: Cross multiply
    1,447,728x = 2,254,320 × 2,254,320
  4. Step 4: Simplify right side
    1,447,728x = 5,081,958,662,400
  5. Step 5: Solve for x
    x = 5,081,958,662,400/1,447,728
  6. Step 6: Final answer
    x = 3,510,299.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.