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Finding the Third Proportional to 508,940 and 1,105,576

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Solution

The third proportional to 508,940 and 1,105,576 is: 2,401,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,940 : 1,105,576 = 1,105,576 : x
  2. Step 2: Convert to fraction form
    508,940/1,105,576 = 1,105,576/x
  3. Step 3: Cross multiply
    508,940x = 1,105,576 × 1,105,576
  4. Step 4: Simplify right side
    508,940x = 1,222,298,291,776
  5. Step 5: Solve for x
    x = 1,222,298,291,776/508,940
  6. Step 6: Final answer
    x = 2,401,654.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.