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Finding the Third Proportional to 933,668 and 1,321,226

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Solution

The third proportional to 933,668 and 1,321,226 is: 1,869,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,668 : 1,321,226 = 1,321,226 : x
  2. Step 2: Convert to fraction form
    933,668/1,321,226 = 1,321,226/x
  3. Step 3: Cross multiply
    933,668x = 1,321,226 × 1,321,226
  4. Step 4: Simplify right side
    933,668x = 1,745,638,143,076
  5. Step 5: Solve for x
    x = 1,745,638,143,076/933,668
  6. Step 6: Final answer
    x = 1,869,656.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.