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Finding the Third Proportional to 1,652,970.38 and 2,554,260.75

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Solution

The third proportional to 1,652,970.38 and 2,554,260.75 is: 3,946,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,970.38 : 2,554,260.75 = 2,554,260.75 : x
  2. Step 2: Convert to fraction form
    1,652,970.38/2,554,260.75 = 2,554,260.75/x
  3. Step 3: Cross multiply
    1,652,970.38x = 2,554,260.75 × 2,554,260.75
  4. Step 4: Simplify right side
    1,652,970.38x = 6,524,247,978,990.56
  5. Step 5: Solve for x
    x = 6,524,247,978,990.56/1,652,970.38
  6. Step 6: Final answer
    x = 3,946,984.22

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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.