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Finding the Third Proportional to 541,358 and 1,190,716

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Solution

The third proportional to 541,358 and 1,190,716 is: 2,618,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,358 : 1,190,716 = 1,190,716 : x
  2. Step 2: Convert to fraction form
    541,358/1,190,716 = 1,190,716/x
  3. Step 3: Cross multiply
    541,358x = 1,190,716 × 1,190,716
  4. Step 4: Simplify right side
    541,358x = 1,417,804,592,656
  5. Step 5: Solve for x
    x = 1,417,804,592,656/541,358
  6. Step 6: Final answer
    x = 2,618,977.82

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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.