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Finding the Third Proportional to 769,160.81 and 1,685,939.06

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Solution

The third proportional to 769,160.81 and 1,685,939.06 is: 3,695,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,160.81 : 1,685,939.06 = 1,685,939.06 : x
  2. Step 2: Convert to fraction form
    769,160.81/1,685,939.06 = 1,685,939.06/x
  3. Step 3: Cross multiply
    769,160.81x = 1,685,939.06 × 1,685,939.06
  4. Step 4: Simplify right side
    769,160.81x = 2,842,390,522,463.38
  5. Step 5: Solve for x
    x = 2,842,390,522,463.38/769,160.81
  6. Step 6: Final answer
    x = 3,695,443.76

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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.