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Finding the Third Proportional to 2,284,854 and 4,926,772

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Solution

The third proportional to 2,284,854 and 4,926,772 is: 10,623,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,854 : 4,926,772 = 4,926,772 : x
  2. Step 2: Convert to fraction form
    2,284,854/4,926,772 = 4,926,772/x
  3. Step 3: Cross multiply
    2,284,854x = 4,926,772 × 4,926,772
  4. Step 4: Simplify right side
    2,284,854x = 24,273,082,339,984
  5. Step 5: Solve for x
    x = 24,273,082,339,984/2,284,854
  6. Step 6: Final answer
    x = 10,623,471.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.