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Finding the Third Proportional to 1,350,244.69 and 2,943,143.86

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Solution

The third proportional to 1,350,244.69 and 2,943,143.86 is: 6,415,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,244.69 : 2,943,143.86 = 2,943,143.86 : x
  2. Step 2: Convert to fraction form
    1,350,244.69/2,943,143.86 = 2,943,143.86/x
  3. Step 3: Cross multiply
    1,350,244.69x = 2,943,143.86 × 2,943,143.86
  4. Step 4: Simplify right side
    1,350,244.69x = 8,662,095,776,976.77
  5. Step 5: Solve for x
    x = 8,662,095,776,976.77/1,350,244.69
  6. Step 6: Final answer
    x = 6,415,204.49

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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.