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Finding the Third Proportional to 590,270 and 1,290,644

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Solution

The third proportional to 590,270 and 1,290,644 is: 2,822,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,270 : 1,290,644 = 1,290,644 : x
  2. Step 2: Convert to fraction form
    590,270/1,290,644 = 1,290,644/x
  3. Step 3: Cross multiply
    590,270x = 1,290,644 × 1,290,644
  4. Step 4: Simplify right side
    590,270x = 1,665,761,934,736
  5. Step 5: Solve for x
    x = 1,665,761,934,736/590,270
  6. Step 6: Final answer
    x = 2,822,033.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.