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Finding the Third Proportional to 824,291 and 1,737,142

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Solution

The third proportional to 824,291 and 1,737,142 is: 3,660,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,291 : 1,737,142 = 1,737,142 : x
  2. Step 2: Convert to fraction form
    824,291/1,737,142 = 1,737,142/x
  3. Step 3: Cross multiply
    824,291x = 1,737,142 × 1,737,142
  4. Step 4: Simplify right side
    824,291x = 3,017,662,328,164
  5. Step 5: Solve for x
    x = 3,017,662,328,164/824,291
  6. Step 6: Final answer
    x = 3,660,918.69

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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.