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Finding the Third Proportional to 523,827 and 1,143,609

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Solution

The third proportional to 523,827 and 1,143,609 is: 2,496,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,827 : 1,143,609 = 1,143,609 : x
  2. Step 2: Convert to fraction form
    523,827/1,143,609 = 1,143,609/x
  3. Step 3: Cross multiply
    523,827x = 1,143,609 × 1,143,609
  4. Step 4: Simplify right side
    523,827x = 1,307,841,544,881
  5. Step 5: Solve for x
    x = 1,307,841,544,881/523,827
  6. Step 6: Final answer
    x = 2,496,705.10

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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.