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Finding the Third Proportional to 824,343 and 1,737,246

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Solution

The third proportional to 824,343 and 1,737,246 is: 3,661,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,343 : 1,737,246 = 1,737,246 : x
  2. Step 2: Convert to fraction form
    824,343/1,737,246 = 1,737,246/x
  3. Step 3: Cross multiply
    824,343x = 1,737,246 × 1,737,246
  4. Step 4: Simplify right side
    824,343x = 3,018,023,664,516
  5. Step 5: Solve for x
    x = 3,018,023,664,516/824,343
  6. Step 6: Final answer
    x = 3,661,126.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.