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Finding the Third Proportional to 862,834 and 1,306,315

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Solution

The third proportional to 862,834 and 1,306,315 is: 1,977,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,834 : 1,306,315 = 1,306,315 : x
  2. Step 2: Convert to fraction form
    862,834/1,306,315 = 1,306,315/x
  3. Step 3: Cross multiply
    862,834x = 1,306,315 × 1,306,315
  4. Step 4: Simplify right side
    862,834x = 1,706,458,879,225
  5. Step 5: Solve for x
    x = 1,706,458,879,225/862,834
  6. Step 6: Final answer
    x = 1,977,737.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.