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Finding the Third Proportional to 798,682 and 1,737,324

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Solution

The third proportional to 798,682 and 1,737,324 is: 3,779,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,682 : 1,737,324 = 1,737,324 : x
  2. Step 2: Convert to fraction form
    798,682/1,737,324 = 1,737,324/x
  3. Step 3: Cross multiply
    798,682x = 1,737,324 × 1,737,324
  4. Step 4: Simplify right side
    798,682x = 3,018,294,680,976
  5. Step 5: Solve for x
    x = 3,018,294,680,976/798,682
  6. Step 6: Final answer
    x = 3,779,094.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.