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Finding the Third Proportional to 1,724,946.75 and 2,524,680

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Solution

The third proportional to 1,724,946.75 and 2,524,680 is: 3,695,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,946.75 : 2,524,680 = 2,524,680 : x
  2. Step 2: Convert to fraction form
    1,724,946.75/2,524,680 = 2,524,680/x
  3. Step 3: Cross multiply
    1,724,946.75x = 2,524,680 × 2,524,680
  4. Step 4: Simplify right side
    1,724,946.75x = 6,374,009,102,400
  5. Step 5: Solve for x
    x = 6,374,009,102,400/1,724,946.75
  6. Step 6: Final answer
    x = 3,695,191.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.