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Finding the Third Proportional to 610,424 and 929,838

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Solution

The third proportional to 610,424 and 929,838 is: 1,416,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,424 : 929,838 = 929,838 : x
  2. Step 2: Convert to fraction form
    610,424/929,838 = 929,838/x
  3. Step 3: Cross multiply
    610,424x = 929,838 × 929,838
  4. Step 4: Simplify right side
    610,424x = 864,598,706,244
  5. Step 5: Solve for x
    x = 864,598,706,244/610,424
  6. Step 6: Final answer
    x = 1,416,390.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.