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Finding the Third Proportional to 814,915 and 1,770,070

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Solution

The third proportional to 814,915 and 1,770,070 is: 3,844,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,915 : 1,770,070 = 1,770,070 : x
  2. Step 2: Convert to fraction form
    814,915/1,770,070 = 1,770,070/x
  3. Step 3: Cross multiply
    814,915x = 1,770,070 × 1,770,070
  4. Step 4: Simplify right side
    814,915x = 3,133,147,804,900
  5. Step 5: Solve for x
    x = 3,133,147,804,900/814,915
  6. Step 6: Final answer
    x = 3,844,754.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.