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Finding the Third Proportional to 508,494 and 1,104,464

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Solution

The third proportional to 508,494 and 1,104,464 is: 2,398,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,494 : 1,104,464 = 1,104,464 : x
  2. Step 2: Convert to fraction form
    508,494/1,104,464 = 1,104,464/x
  3. Step 3: Cross multiply
    508,494x = 1,104,464 × 1,104,464
  4. Step 4: Simplify right side
    508,494x = 1,219,840,727,296
  5. Step 5: Solve for x
    x = 1,219,840,727,296/508,494
  6. Step 6: Final answer
    x = 2,398,928.46

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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.