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Finding the Third Proportional to 523,881 and 1,116,450

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Solution

The third proportional to 523,881 and 1,116,450 is: 2,379,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,881 : 1,116,450 = 1,116,450 : x
  2. Step 2: Convert to fraction form
    523,881/1,116,450 = 1,116,450/x
  3. Step 3: Cross multiply
    523,881x = 1,116,450 × 1,116,450
  4. Step 4: Simplify right side
    523,881x = 1,246,460,602,500
  5. Step 5: Solve for x
    x = 1,246,460,602,500/523,881
  6. Step 6: Final answer
    x = 2,379,281.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.