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Finding the Third Proportional to 521,689 and 1,099,415

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Solution

The third proportional to 521,689 and 1,099,415 is: 2,316,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,689 : 1,099,415 = 1,099,415 : x
  2. Step 2: Convert to fraction form
    521,689/1,099,415 = 1,099,415/x
  3. Step 3: Cross multiply
    521,689x = 1,099,415 × 1,099,415
  4. Step 4: Simplify right side
    521,689x = 1,208,713,342,225
  5. Step 5: Solve for x
    x = 1,208,713,342,225/521,689
  6. Step 6: Final answer
    x = 2,316,923.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.