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Finding the Third Proportional to 824,382 and 1,737,324

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Solution

The third proportional to 824,382 and 1,737,324 is: 3,661,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,382 : 1,737,324 = 1,737,324 : x
  2. Step 2: Convert to fraction form
    824,382/1,737,324 = 1,737,324/x
  3. Step 3: Cross multiply
    824,382x = 1,737,324 × 1,737,324
  4. Step 4: Simplify right side
    824,382x = 3,018,294,680,976
  5. Step 5: Solve for x
    x = 3,018,294,680,976/824,382
  6. Step 6: Final answer
    x = 3,661,281.64

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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.