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Finding the Third Proportional to 581,742 and 1,213,299

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Solution

The third proportional to 581,742 and 1,213,299 is: 2,530,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,742 : 1,213,299 = 1,213,299 : x
  2. Step 2: Convert to fraction form
    581,742/1,213,299 = 1,213,299/x
  3. Step 3: Cross multiply
    581,742x = 1,213,299 × 1,213,299
  4. Step 4: Simplify right side
    581,742x = 1,472,094,463,401
  5. Step 5: Solve for x
    x = 1,472,094,463,401/581,742
  6. Step 6: Final answer
    x = 2,530,493.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.