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Finding the Third Proportional to 407,754 and 852,687

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Solution

The third proportional to 407,754 and 852,687 is: 1,783,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,754 : 852,687 = 852,687 : x
  2. Step 2: Convert to fraction form
    407,754/852,687 = 852,687/x
  3. Step 3: Cross multiply
    407,754x = 852,687 × 852,687
  4. Step 4: Simplify right side
    407,754x = 727,075,119,969
  5. Step 5: Solve for x
    x = 727,075,119,969/407,754
  6. Step 6: Final answer
    x = 1,783,121.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.