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Finding the Third Proportional to 489,434 and 1,005,218

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Solution

The third proportional to 489,434 and 1,005,218 is: 2,064,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,434 : 1,005,218 = 1,005,218 : x
  2. Step 2: Convert to fraction form
    489,434/1,005,218 = 1,005,218/x
  3. Step 3: Cross multiply
    489,434x = 1,005,218 × 1,005,218
  4. Step 4: Simplify right side
    489,434x = 1,010,463,227,524
  5. Step 5: Solve for x
    x = 1,010,463,227,524/489,434
  6. Step 6: Final answer
    x = 2,064,554.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.