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Finding the Third Proportional to 873,746 and 1,318,647

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Solution

The third proportional to 873,746 and 1,318,647 is: 1,990,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,746 : 1,318,647 = 1,318,647 : x
  2. Step 2: Convert to fraction form
    873,746/1,318,647 = 1,318,647/x
  3. Step 3: Cross multiply
    873,746x = 1,318,647 × 1,318,647
  4. Step 4: Simplify right side
    873,746x = 1,738,829,910,609
  5. Step 5: Solve for x
    x = 1,738,829,910,609/873,746
  6. Step 6: Final answer
    x = 1,990,086.26

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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.