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Finding the Third Proportional to 559,812 and 1,199,487

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Solution

The third proportional to 559,812 and 1,199,487 is: 2,570,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,812 : 1,199,487 = 1,199,487 : x
  2. Step 2: Convert to fraction form
    559,812/1,199,487 = 1,199,487/x
  3. Step 3: Cross multiply
    559,812x = 1,199,487 × 1,199,487
  4. Step 4: Simplify right side
    559,812x = 1,438,769,063,169
  5. Step 5: Solve for x
    x = 1,438,769,063,169/559,812
  6. Step 6: Final answer
    x = 2,570,093.29

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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.