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Finding the Third Proportional to 2,478,784 and 5,255,138

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Solution

The third proportional to 2,478,784 and 5,255,138 is: 11,141,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478,784 : 5,255,138 = 5,255,138 : x
  2. Step 2: Convert to fraction form
    2,478,784/5,255,138 = 5,255,138/x
  3. Step 3: Cross multiply
    2,478,784x = 5,255,138 × 5,255,138
  4. Step 4: Simplify right side
    2,478,784x = 27,616,475,399,044
  5. Step 5: Solve for x
    x = 27,616,475,399,044/2,478,784
  6. Step 6: Final answer
    x = 11,141,138.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.