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Finding the Third Proportional to 905,082 and 1,341,966

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Solution

The third proportional to 905,082 and 1,341,966 is: 1,989,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,082 : 1,341,966 = 1,341,966 : x
  2. Step 2: Convert to fraction form
    905,082/1,341,966 = 1,341,966/x
  3. Step 3: Cross multiply
    905,082x = 1,341,966 × 1,341,966
  4. Step 4: Simplify right side
    905,082x = 1,800,872,745,156
  5. Step 5: Solve for x
    x = 1,800,872,745,156/905,082
  6. Step 6: Final answer
    x = 1,989,734.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.