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Finding the Third Proportional to 772,056 and 1,113,793

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Solution

The third proportional to 772,056 and 1,113,793 is: 1,606,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,056 : 1,113,793 = 1,113,793 : x
  2. Step 2: Convert to fraction form
    772,056/1,113,793 = 1,113,793/x
  3. Step 3: Cross multiply
    772,056x = 1,113,793 × 1,113,793
  4. Step 4: Simplify right side
    772,056x = 1,240,534,846,849
  5. Step 5: Solve for x
    x = 1,240,534,846,849/772,056
  6. Step 6: Final answer
    x = 1,606,793.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.