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Finding the Third Proportional to 829,664.65 and 1,805,337.18

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Solution

The third proportional to 829,664.65 and 1,805,337.18 is: 3,928,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,664.65 : 1,805,337.18 = 1,805,337.18 : x
  2. Step 2: Convert to fraction form
    829,664.65/1,805,337.18 = 1,805,337.18/x
  3. Step 3: Cross multiply
    829,664.65x = 1,805,337.18 × 1,805,337.18
  4. Step 4: Simplify right side
    829,664.65x = 3,259,242,318,257.64
  5. Step 5: Solve for x
    x = 3,259,242,318,257.64/829,664.65
  6. Step 6: Final answer
    x = 3,928,385.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.