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Finding the Third Proportional to 611,476 and 880,754

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Solution

The third proportional to 611,476 and 880,754 is: 1,268,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,476 : 880,754 = 880,754 : x
  2. Step 2: Convert to fraction form
    611,476/880,754 = 880,754/x
  3. Step 3: Cross multiply
    611,476x = 880,754 × 880,754
  4. Step 4: Simplify right side
    611,476x = 775,727,608,516
  5. Step 5: Solve for x
    x = 775,727,608,516/611,476
  6. Step 6: Final answer
    x = 1,268,614.97

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Why These Related Problems?

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