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Finding the Third Proportional to 486,481.49 and 1,064,592.73

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Solution

The third proportional to 486,481.49 and 1,064,592.73 is: 2,329,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,481.49 : 1,064,592.73 = 1,064,592.73 : x
  2. Step 2: Convert to fraction form
    486,481.49/1,064,592.73 = 1,064,592.73/x
  3. Step 3: Cross multiply
    486,481.49x = 1,064,592.73 × 1,064,592.73
  4. Step 4: Simplify right side
    486,481.49x = 1,133,357,679,687.65
  5. Step 5: Solve for x
    x = 1,133,357,679,687.65/486,481.49
  6. Step 6: Final answer
    x = 2,329,703.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.