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Finding the Third Proportional to 824,220 and 1,737,000

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Solution

The third proportional to 824,220 and 1,737,000 is: 3,660,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,220 : 1,737,000 = 1,737,000 : x
  2. Step 2: Convert to fraction form
    824,220/1,737,000 = 1,737,000/x
  3. Step 3: Cross multiply
    824,220x = 1,737,000 × 1,737,000
  4. Step 4: Simplify right side
    824,220x = 3,017,169,000,000
  5. Step 5: Solve for x
    x = 3,017,169,000,000/824,220
  6. Step 6: Final answer
    x = 3,660,635.51

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Why These Related Problems?

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