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Finding the Third Proportional to 947,520 and 1,251,936

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Solution

The third proportional to 947,520 and 1,251,936 is: 1,654,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,520 : 1,251,936 = 1,251,936 : x
  2. Step 2: Convert to fraction form
    947,520/1,251,936 = 1,251,936/x
  3. Step 3: Cross multiply
    947,520x = 1,251,936 × 1,251,936
  4. Step 4: Simplify right side
    947,520x = 1,567,343,748,096
  5. Step 5: Solve for x
    x = 1,567,343,748,096/947,520
  6. Step 6: Final answer
    x = 1,654,153.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.