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Finding the Third Proportional to 684,754 and 1,526,864

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Solution

The third proportional to 684,754 and 1,526,864 is: 3,404,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,754 : 1,526,864 = 1,526,864 : x
  2. Step 2: Convert to fraction form
    684,754/1,526,864 = 1,526,864/x
  3. Step 3: Cross multiply
    684,754x = 1,526,864 × 1,526,864
  4. Step 4: Simplify right side
    684,754x = 2,331,313,674,496
  5. Step 5: Solve for x
    x = 2,331,313,674,496/684,754
  6. Step 6: Final answer
    x = 3,404,600.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.