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Finding the Third Proportional to 2,560,695 and 5,593,854

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Solution

The third proportional to 2,560,695 and 5,593,854 is: 12,219,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,695 : 5,593,854 = 5,593,854 : x
  2. Step 2: Convert to fraction form
    2,560,695/5,593,854 = 5,593,854/x
  3. Step 3: Cross multiply
    2,560,695x = 5,593,854 × 5,593,854
  4. Step 4: Simplify right side
    2,560,695x = 31,291,202,573,316
  5. Step 5: Solve for x
    x = 31,291,202,573,316/2,560,695
  6. Step 6: Final answer
    x = 12,219,808.52

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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.