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Finding the Third Proportional to 2,415,410 and 5,209,132

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Solution

The third proportional to 2,415,410 and 5,209,132 is: 11,234,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,410 : 5,209,132 = 5,209,132 : x
  2. Step 2: Convert to fraction form
    2,415,410/5,209,132 = 5,209,132/x
  3. Step 3: Cross multiply
    2,415,410x = 5,209,132 × 5,209,132
  4. Step 4: Simplify right side
    2,415,410x = 27,135,056,193,424
  5. Step 5: Solve for x
    x = 27,135,056,193,424/2,415,410
  6. Step 6: Final answer
    x = 11,234,140.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.