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Finding the Third Proportional to 686,727 and 1,041,754.50

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Solution

The third proportional to 686,727 and 1,041,754.50 is: 1,580,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,727 : 1,041,754.50 = 1,041,754.50 : x
  2. Step 2: Convert to fraction form
    686,727/1,041,754.50 = 1,041,754.50/x
  3. Step 3: Cross multiply
    686,727x = 1,041,754.50 × 1,041,754.50
  4. Step 4: Simplify right side
    686,727x = 1,085,252,438,270.25
  5. Step 5: Solve for x
    x = 1,085,252,438,270.25/686,727
  6. Step 6: Final answer
    x = 1,580,325.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.