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Finding the Third Proportional to 933,658 and 1,321,213

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Solution

The third proportional to 933,658 and 1,321,213 is: 1,869,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,658 : 1,321,213 = 1,321,213 : x
  2. Step 2: Convert to fraction form
    933,658/1,321,213 = 1,321,213/x
  3. Step 3: Cross multiply
    933,658x = 1,321,213 × 1,321,213
  4. Step 4: Simplify right side
    933,658x = 1,745,603,791,369
  5. Step 5: Solve for x
    x = 1,745,603,791,369/933,658
  6. Step 6: Final answer
    x = 1,869,639.41

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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.