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Finding the Third Proportional to 2,371,293 and 5,203,476

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Solution

The third proportional to 2,371,293 and 5,203,476 is: 11,418,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,293 : 5,203,476 = 5,203,476 : x
  2. Step 2: Convert to fraction form
    2,371,293/5,203,476 = 5,203,476/x
  3. Step 3: Cross multiply
    2,371,293x = 5,203,476 × 5,203,476
  4. Step 4: Simplify right side
    2,371,293x = 27,076,162,482,576
  5. Step 5: Solve for x
    x = 27,076,162,482,576/2,371,293
  6. Step 6: Final answer
    x = 11,418,311.65

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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.