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Finding the Third Proportional to 824,220.88 and 1,737,001.63

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Solution

The third proportional to 824,220.88 and 1,737,001.63 is: 3,660,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,220.88 : 1,737,001.63 = 1,737,001.63 : x
  2. Step 2: Convert to fraction form
    824,220.88/1,737,001.63 = 1,737,001.63/x
  3. Step 3: Cross multiply
    824,220.88x = 1,737,001.63 × 1,737,001.63
  4. Step 4: Simplify right side
    824,220.88x = 3,017,174,645,252.64
  5. Step 5: Solve for x
    x = 3,017,174,645,252.64/824,220.88
  6. Step 6: Final answer
    x = 3,660,638.47

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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.