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Finding the Third Proportional to 2,094,614 and 4,562,464

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Solution

The third proportional to 2,094,614 and 4,562,464 is: 9,937,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,614 : 4,562,464 = 4,562,464 : x
  2. Step 2: Convert to fraction form
    2,094,614/4,562,464 = 4,562,464/x
  3. Step 3: Cross multiply
    2,094,614x = 4,562,464 × 4,562,464
  4. Step 4: Simplify right side
    2,094,614x = 20,816,077,751,296
  5. Step 5: Solve for x
    x = 20,816,077,751,296/2,094,614
  6. Step 6: Final answer
    x = 9,937,906.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.