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Finding the Third Proportional to 580,327 and 1,278,346

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Solution

The third proportional to 580,327 and 1,278,346 is: 2,815,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,327 : 1,278,346 = 1,278,346 : x
  2. Step 2: Convert to fraction form
    580,327/1,278,346 = 1,278,346/x
  3. Step 3: Cross multiply
    580,327x = 1,278,346 × 1,278,346
  4. Step 4: Simplify right side
    580,327x = 1,634,168,495,716
  5. Step 5: Solve for x
    x = 1,634,168,495,716/580,327
  6. Step 6: Final answer
    x = 2,815,944.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.