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Finding the Third Proportional to 2,578,210 and 5,529,476

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Solution

The third proportional to 2,578,210 and 5,529,476 is: 11,859,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,210 : 5,529,476 = 5,529,476 : x
  2. Step 2: Convert to fraction form
    2,578,210/5,529,476 = 5,529,476/x
  3. Step 3: Cross multiply
    2,578,210x = 5,529,476 × 5,529,476
  4. Step 4: Simplify right side
    2,578,210x = 30,575,104,834,576
  5. Step 5: Solve for x
    x = 30,575,104,834,576/2,578,210
  6. Step 6: Final answer
    x = 11,859,043.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.