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Finding the Third Proportional to 523,848 and 1,143,651

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Solution

The third proportional to 523,848 and 1,143,651 is: 2,496,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,848 : 1,143,651 = 1,143,651 : x
  2. Step 2: Convert to fraction form
    523,848/1,143,651 = 1,143,651/x
  3. Step 3: Cross multiply
    523,848x = 1,143,651 × 1,143,651
  4. Step 4: Simplify right side
    523,848x = 1,307,937,609,801
  5. Step 5: Solve for x
    x = 1,307,937,609,801/523,848
  6. Step 6: Final answer
    x = 2,496,788.40

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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.