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Finding the Third Proportional to 2,945,346.52 and 4,576,713.97

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Solution

The third proportional to 2,945,346.52 and 4,576,713.97 is: 7,111,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945,346.52 : 4,576,713.97 = 4,576,713.97 : x
  2. Step 2: Convert to fraction form
    2,945,346.52/4,576,713.97 = 4,576,713.97/x
  3. Step 3: Cross multiply
    2,945,346.52x = 4,576,713.97 × 4,576,713.97
  4. Step 4: Simplify right side
    2,945,346.52x = 20,946,310,760,689.70
  5. Step 5: Solve for x
    x = 20,946,310,760,689.70/2,945,346.52
  6. Step 6: Final answer
    x = 7,111,662.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.