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Finding the Third Proportional to 824,222 and 1,737,004

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Solution

The third proportional to 824,222 and 1,737,004 is: 3,660,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,222 : 1,737,004 = 1,737,004 : x
  2. Step 2: Convert to fraction form
    824,222/1,737,004 = 1,737,004/x
  3. Step 3: Cross multiply
    824,222x = 1,737,004 × 1,737,004
  4. Step 4: Simplify right side
    824,222x = 3,017,182,896,016
  5. Step 5: Solve for x
    x = 3,017,182,896,016/824,222
  6. Step 6: Final answer
    x = 3,660,643.49

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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.