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Finding the Third Proportional to 508,274 and 1,105,080

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Solution

The third proportional to 508,274 and 1,105,080 is: 2,402,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,274 : 1,105,080 = 1,105,080 : x
  2. Step 2: Convert to fraction form
    508,274/1,105,080 = 1,105,080/x
  3. Step 3: Cross multiply
    508,274x = 1,105,080 × 1,105,080
  4. Step 4: Simplify right side
    508,274x = 1,221,201,806,400
  5. Step 5: Solve for x
    x = 1,221,201,806,400/508,274
  6. Step 6: Final answer
    x = 2,402,644.65

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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.