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Finding the Third Proportional to 523,842 and 1,143,639

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Solution

The third proportional to 523,842 and 1,143,639 is: 2,496,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,842 : 1,143,639 = 1,143,639 : x
  2. Step 2: Convert to fraction form
    523,842/1,143,639 = 1,143,639/x
  3. Step 3: Cross multiply
    523,842x = 1,143,639 × 1,143,639
  4. Step 4: Simplify right side
    523,842x = 1,307,910,162,321
  5. Step 5: Solve for x
    x = 1,307,910,162,321/523,842
  6. Step 6: Final answer
    x = 2,496,764.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.