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Finding the Third Proportional to 489,364 and 1,037,481

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Solution

The third proportional to 489,364 and 1,037,481 is: 2,199,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,364 : 1,037,481 = 1,037,481 : x
  2. Step 2: Convert to fraction form
    489,364/1,037,481 = 1,037,481/x
  3. Step 3: Cross multiply
    489,364x = 1,037,481 × 1,037,481
  4. Step 4: Simplify right side
    489,364x = 1,076,366,825,361
  5. Step 5: Solve for x
    x = 1,076,366,825,361/489,364
  6. Step 6: Final answer
    x = 2,199,521.88

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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.