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Finding the Third Proportional to 949,006.13 and 2,049,553.13

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Solution

The third proportional to 949,006.13 and 2,049,553.13 is: 4,426,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,006.13 : 2,049,553.13 = 2,049,553.13 : x
  2. Step 2: Convert to fraction form
    949,006.13/2,049,553.13 = 2,049,553.13/x
  3. Step 3: Cross multiply
    949,006.13x = 2,049,553.13 × 2,049,553.13
  4. Step 4: Simplify right side
    949,006.13x = 4,200,668,012,197.27
  5. Step 5: Solve for x
    x = 4,200,668,012,197.27/949,006.13
  6. Step 6: Final answer
    x = 4,426,386.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.