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Finding the Third Proportional to 515,702 and 1,219,352

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Solution

The third proportional to 515,702 and 1,219,352 is: 2,883,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,702 : 1,219,352 = 1,219,352 : x
  2. Step 2: Convert to fraction form
    515,702/1,219,352 = 1,219,352/x
  3. Step 3: Cross multiply
    515,702x = 1,219,352 × 1,219,352
  4. Step 4: Simplify right side
    515,702x = 1,486,819,299,904
  5. Step 5: Solve for x
    x = 1,486,819,299,904/515,702
  6. Step 6: Final answer
    x = 2,883,097.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.