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Finding the Third Proportional to 805,924 and 1,737,749

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Solution

The third proportional to 805,924 and 1,737,749 is: 3,746,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,924 : 1,737,749 = 1,737,749 : x
  2. Step 2: Convert to fraction form
    805,924/1,737,749 = 1,737,749/x
  3. Step 3: Cross multiply
    805,924x = 1,737,749 × 1,737,749
  4. Step 4: Simplify right side
    805,924x = 3,019,771,587,001
  5. Step 5: Solve for x
    x = 3,019,771,587,001/805,924
  6. Step 6: Final answer
    x = 3,746,968.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.