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Finding the Third Proportional to 684,740 and 1,526,836

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Solution

The third proportional to 684,740 and 1,526,836 is: 3,404,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,740 : 1,526,836 = 1,526,836 : x
  2. Step 2: Convert to fraction form
    684,740/1,526,836 = 1,526,836/x
  3. Step 3: Cross multiply
    684,740x = 1,526,836 × 1,526,836
  4. Step 4: Simplify right side
    684,740x = 2,331,228,170,896
  5. Step 5: Solve for x
    x = 2,331,228,170,896/684,740
  6. Step 6: Final answer
    x = 3,404,545.04

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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.