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Finding the Third Proportional to 2,417,535 and 5,122,206

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Solution

The third proportional to 2,417,535 and 5,122,206 is: 10,852,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417,535 : 5,122,206 = 5,122,206 : x
  2. Step 2: Convert to fraction form
    2,417,535/5,122,206 = 5,122,206/x
  3. Step 3: Cross multiply
    2,417,535x = 5,122,206 × 5,122,206
  4. Step 4: Simplify right side
    2,417,535x = 26,236,994,306,436
  5. Step 5: Solve for x
    x = 26,236,994,306,436/2,417,535
  6. Step 6: Final answer
    x = 10,852,787.78

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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.