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Finding the Third Proportional to 2,284,864 and 4,963,052

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Solution

The third proportional to 2,284,864 and 4,963,052 is: 10,780,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,864 : 4,963,052 = 4,963,052 : x
  2. Step 2: Convert to fraction form
    2,284,864/4,963,052 = 4,963,052/x
  3. Step 3: Cross multiply
    2,284,864x = 4,963,052 × 4,963,052
  4. Step 4: Simplify right side
    2,284,864x = 24,631,885,154,704
  5. Step 5: Solve for x
    x = 24,631,885,154,704/2,284,864
  6. Step 6: Final answer
    x = 10,780,460.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.