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Finding the Third Proportional to 769,042 and 1,165,014

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Solution

The third proportional to 769,042 and 1,165,014 is: 1,764,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,042 : 1,165,014 = 1,165,014 : x
  2. Step 2: Convert to fraction form
    769,042/1,165,014 = 1,165,014/x
  3. Step 3: Cross multiply
    769,042x = 1,165,014 × 1,165,014
  4. Step 4: Simplify right side
    769,042x = 1,357,257,620,196
  5. Step 5: Solve for x
    x = 1,357,257,620,196/769,042
  6. Step 6: Final answer
    x = 1,764,868.00

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