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Finding the Third Proportional to 2,094,613 and 4,562,462

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Solution

The third proportional to 2,094,613 and 4,562,462 is: 9,937,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,613 : 4,562,462 = 4,562,462 : x
  2. Step 2: Convert to fraction form
    2,094,613/4,562,462 = 4,562,462/x
  3. Step 3: Cross multiply
    2,094,613x = 4,562,462 × 4,562,462
  4. Step 4: Simplify right side
    2,094,613x = 20,816,059,501,444
  5. Step 5: Solve for x
    x = 20,816,059,501,444/2,094,613
  6. Step 6: Final answer
    x = 9,937,902.37

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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.