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Finding the Third Proportional to 521,484 and 1,099,011

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Solution

The third proportional to 521,484 and 1,099,011 is: 2,316,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,484 : 1,099,011 = 1,099,011 : x
  2. Step 2: Convert to fraction form
    521,484/1,099,011 = 1,099,011/x
  3. Step 3: Cross multiply
    521,484x = 1,099,011 × 1,099,011
  4. Step 4: Simplify right side
    521,484x = 1,207,825,178,121
  5. Step 5: Solve for x
    x = 1,207,825,178,121/521,484
  6. Step 6: Final answer
    x = 2,316,130.85

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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.