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Finding the Third Proportional to 2,596,065 and 5,681,529

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Solution

The third proportional to 2,596,065 and 5,681,529 is: 12,434,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,065 : 5,681,529 = 5,681,529 : x
  2. Step 2: Convert to fraction form
    2,596,065/5,681,529 = 5,681,529/x
  3. Step 3: Cross multiply
    2,596,065x = 5,681,529 × 5,681,529
  4. Step 4: Simplify right side
    2,596,065x = 32,279,771,777,841
  5. Step 5: Solve for x
    x = 32,279,771,777,841/2,596,065
  6. Step 6: Final answer
    x = 12,434,115.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.