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Finding the Third Proportional to 729,270 and 1,590,120

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Solution

The third proportional to 729,270 and 1,590,120 is: 3,467,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,270 : 1,590,120 = 1,590,120 : x
  2. Step 2: Convert to fraction form
    729,270/1,590,120 = 1,590,120/x
  3. Step 3: Cross multiply
    729,270x = 1,590,120 × 1,590,120
  4. Step 4: Simplify right side
    729,270x = 2,528,481,614,400
  5. Step 5: Solve for x
    x = 2,528,481,614,400/729,270
  6. Step 6: Final answer
    x = 3,467,140.58

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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.