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Finding the Third Proportional to 716,546 and 1,082,883

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Solution

The third proportional to 716,546 and 1,082,883 is: 1,636,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,546 : 1,082,883 = 1,082,883 : x
  2. Step 2: Convert to fraction form
    716,546/1,082,883 = 1,082,883/x
  3. Step 3: Cross multiply
    716,546x = 1,082,883 × 1,082,883
  4. Step 4: Simplify right side
    716,546x = 1,172,635,591,689
  5. Step 5: Solve for x
    x = 1,172,635,591,689/716,546
  6. Step 6: Final answer
    x = 1,636,511.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.