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Finding the Third Proportional to 929,013 and 1,308,255

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Solution

The third proportional to 929,013 and 1,308,255 is: 1,842,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,013 : 1,308,255 = 1,308,255 : x
  2. Step 2: Convert to fraction form
    929,013/1,308,255 = 1,308,255/x
  3. Step 3: Cross multiply
    929,013x = 1,308,255 × 1,308,255
  4. Step 4: Simplify right side
    929,013x = 1,711,531,145,025
  5. Step 5: Solve for x
    x = 1,711,531,145,025/929,013
  6. Step 6: Final answer
    x = 1,842,311.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.