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Finding the Third Proportional to 489,436 and 1,005,222

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Solution

The third proportional to 489,436 and 1,005,222 is: 2,064,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,436 : 1,005,222 = 1,005,222 : x
  2. Step 2: Convert to fraction form
    489,436/1,005,222 = 1,005,222/x
  3. Step 3: Cross multiply
    489,436x = 1,005,222 × 1,005,222
  4. Step 4: Simplify right side
    489,436x = 1,010,471,269,284
  5. Step 5: Solve for x
    x = 1,010,471,269,284/489,436
  6. Step 6: Final answer
    x = 2,064,562.62

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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.