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Finding the Third Proportional to 2,048,480 and 4,410,784

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Solution

The third proportional to 2,048,480 and 4,410,784 is: 9,497,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,480 : 4,410,784 = 4,410,784 : x
  2. Step 2: Convert to fraction form
    2,048,480/4,410,784 = 4,410,784/x
  3. Step 3: Cross multiply
    2,048,480x = 4,410,784 × 4,410,784
  4. Step 4: Simplify right side
    2,048,480x = 19,455,015,494,656
  5. Step 5: Solve for x
    x = 19,455,015,494,656/2,048,480
  6. Step 6: Final answer
    x = 9,497,293.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.