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Finding the Third Proportional to 983,051 and 1,328,165

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Solution

The third proportional to 983,051 and 1,328,165 is: 1,794,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,051 : 1,328,165 = 1,328,165 : x
  2. Step 2: Convert to fraction form
    983,051/1,328,165 = 1,328,165/x
  3. Step 3: Cross multiply
    983,051x = 1,328,165 × 1,328,165
  4. Step 4: Simplify right side
    983,051x = 1,764,022,267,225
  5. Step 5: Solve for x
    x = 1,764,022,267,225/983,051
  6. Step 6: Final answer
    x = 1,794,436.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.