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Finding the Third Proportional to 769,056 and 1,147,212

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Solution

The third proportional to 769,056 and 1,147,212 is: 1,711,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,056 : 1,147,212 = 1,147,212 : x
  2. Step 2: Convert to fraction form
    769,056/1,147,212 = 1,147,212/x
  3. Step 3: Cross multiply
    769,056x = 1,147,212 × 1,147,212
  4. Step 4: Simplify right side
    769,056x = 1,316,095,372,944
  5. Step 5: Solve for x
    x = 1,316,095,372,944/769,056
  6. Step 6: Final answer
    x = 1,711,312.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.