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Finding the Third Proportional to 2,446,854 and 5,268,684

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Solution

The third proportional to 2,446,854 and 5,268,684 is: 11,344,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446,854 : 5,268,684 = 5,268,684 : x
  2. Step 2: Convert to fraction form
    2,446,854/5,268,684 = 5,268,684/x
  3. Step 3: Cross multiply
    2,446,854x = 5,268,684 × 5,268,684
  4. Step 4: Simplify right side
    2,446,854x = 27,759,031,091,856
  5. Step 5: Solve for x
    x = 27,759,031,091,856/2,446,854
  6. Step 6: Final answer
    x = 11,344,784.40

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Why These Related Problems?

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