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Finding the Third Proportional to 762,933 and 1,656,960

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Solution

The third proportional to 762,933 and 1,656,960 is: 3,598,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,933 : 1,656,960 = 1,656,960 : x
  2. Step 2: Convert to fraction form
    762,933/1,656,960 = 1,656,960/x
  3. Step 3: Cross multiply
    762,933x = 1,656,960 × 1,656,960
  4. Step 4: Simplify right side
    762,933x = 2,745,516,441,600
  5. Step 5: Solve for x
    x = 2,745,516,441,600/762,933
  6. Step 6: Final answer
    x = 3,598,633.75

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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.