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Finding the Third Proportional to 836,172 and 1,262,092.50

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Solution

The third proportional to 836,172 and 1,262,092.50 is: 1,904,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,172 : 1,262,092.50 = 1,262,092.50 : x
  2. Step 2: Convert to fraction form
    836,172/1,262,092.50 = 1,262,092.50/x
  3. Step 3: Cross multiply
    836,172x = 1,262,092.50 × 1,262,092.50
  4. Step 4: Simplify right side
    836,172x = 1,592,877,478,556.25
  5. Step 5: Solve for x
    x = 1,592,877,478,556.25/836,172
  6. Step 6: Final answer
    x = 1,904,963.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.