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Finding the Third Proportional to 982,637 and 2,083,369

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Solution

The third proportional to 982,637 and 2,083,369 is: 4,417,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,637 : 2,083,369 = 2,083,369 : x
  2. Step 2: Convert to fraction form
    982,637/2,083,369 = 2,083,369/x
  3. Step 3: Cross multiply
    982,637x = 2,083,369 × 2,083,369
  4. Step 4: Simplify right side
    982,637x = 4,340,426,390,161
  5. Step 5: Solve for x
    x = 4,340,426,390,161/982,637
  6. Step 6: Final answer
    x = 4,417,120.86

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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.