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Finding the Third Proportional to 536,757 and 1,157,583

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Solution

The third proportional to 536,757 and 1,157,583 is: 2,496,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,757 : 1,157,583 = 1,157,583 : x
  2. Step 2: Convert to fraction form
    536,757/1,157,583 = 1,157,583/x
  3. Step 3: Cross multiply
    536,757x = 1,157,583 × 1,157,583
  4. Step 4: Simplify right side
    536,757x = 1,339,998,401,889
  5. Step 5: Solve for x
    x = 1,339,998,401,889/536,757
  6. Step 6: Final answer
    x = 2,496,471.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.