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Finding the Third Proportional to 982,646 and 2,083,391

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Solution

The third proportional to 982,646 and 2,083,391 is: 4,417,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,646 : 2,083,391 = 2,083,391 : x
  2. Step 2: Convert to fraction form
    982,646/2,083,391 = 2,083,391/x
  3. Step 3: Cross multiply
    982,646x = 2,083,391 × 2,083,391
  4. Step 4: Simplify right side
    982,646x = 4,340,518,058,881
  5. Step 5: Solve for x
    x = 4,340,518,058,881/982,646
  6. Step 6: Final answer
    x = 4,417,173.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.