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Finding the Third Proportional to 1,384,573.92 and 2,095,349.13

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Solution

The third proportional to 1,384,573.92 and 2,095,349.13 is: 3,171,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,573.92 : 2,095,349.13 = 2,095,349.13 : x
  2. Step 2: Convert to fraction form
    1,384,573.92/2,095,349.13 = 2,095,349.13/x
  3. Step 3: Cross multiply
    1,384,573.92x = 2,095,349.13 × 2,095,349.13
  4. Step 4: Simplify right side
    1,384,573.92x = 4,390,487,988,378.10
  5. Step 5: Solve for x
    x = 4,390,487,988,378.10/1,384,573.92
  6. Step 6: Final answer
    x = 3,171,002.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.