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Finding the Third Proportional to 650,349 and 1,391,094

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Solution

The third proportional to 650,349 and 1,391,094 is: 2,975,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,349 : 1,391,094 = 1,391,094 : x
  2. Step 2: Convert to fraction form
    650,349/1,391,094 = 1,391,094/x
  3. Step 3: Cross multiply
    650,349x = 1,391,094 × 1,391,094
  4. Step 4: Simplify right side
    650,349x = 1,935,142,516,836
  5. Step 5: Solve for x
    x = 1,935,142,516,836/650,349
  6. Step 6: Final answer
    x = 2,975,544.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.