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Finding the Third Proportional to 832,518 and 1,828,692

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Solution

The third proportional to 832,518 and 1,828,692 is: 4,016,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,518 : 1,828,692 = 1,828,692 : x
  2. Step 2: Convert to fraction form
    832,518/1,828,692 = 1,828,692/x
  3. Step 3: Cross multiply
    832,518x = 1,828,692 × 1,828,692
  4. Step 4: Simplify right side
    832,518x = 3,344,114,430,864
  5. Step 5: Solve for x
    x = 3,344,114,430,864/832,518
  6. Step 6: Final answer
    x = 4,016,867.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.