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Finding the Third Proportional to 559,817 and 1,199,497

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Solution

The third proportional to 559,817 and 1,199,497 is: 2,570,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,817 : 1,199,497 = 1,199,497 : x
  2. Step 2: Convert to fraction form
    559,817/1,199,497 = 1,199,497/x
  3. Step 3: Cross multiply
    559,817x = 1,199,497 × 1,199,497
  4. Step 4: Simplify right side
    559,817x = 1,438,793,053,009
  5. Step 5: Solve for x
    x = 1,438,793,053,009/559,817
  6. Step 6: Final answer
    x = 2,570,113.19

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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.