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Finding the Third Proportional to 779,474 and 1,700,008

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Solution

The third proportional to 779,474 and 1,700,008 is: 3,707,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,474 : 1,700,008 = 1,700,008 : x
  2. Step 2: Convert to fraction form
    779,474/1,700,008 = 1,700,008/x
  3. Step 3: Cross multiply
    779,474x = 1,700,008 × 1,700,008
  4. Step 4: Simplify right side
    779,474x = 2,890,027,200,064
  5. Step 5: Solve for x
    x = 2,890,027,200,064/779,474
  6. Step 6: Final answer
    x = 3,707,663.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.