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Finding the Third Proportional to 1,384,598.81 and 2,095,373.81

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Solution

The third proportional to 1,384,598.81 and 2,095,373.81 is: 3,171,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,598.81 : 2,095,373.81 = 2,095,373.81 : x
  2. Step 2: Convert to fraction form
    1,384,598.81/2,095,373.81 = 2,095,373.81/x
  3. Step 3: Cross multiply
    1,384,598.81x = 2,095,373.81 × 2,095,373.81
  4. Step 4: Simplify right side
    1,384,598.81x = 4,390,591,414,110.79
  5. Step 5: Solve for x
    x = 4,390,591,414,110.79/1,384,598.81
  6. Step 6: Final answer
    x = 3,171,020.64

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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.