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Finding the Third Proportional to 590,833 and 1,288,604

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Solution

The third proportional to 590,833 and 1,288,604 is: 2,810,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,833 : 1,288,604 = 1,288,604 : x
  2. Step 2: Convert to fraction form
    590,833/1,288,604 = 1,288,604/x
  3. Step 3: Cross multiply
    590,833x = 1,288,604 × 1,288,604
  4. Step 4: Simplify right side
    590,833x = 1,660,500,268,816
  5. Step 5: Solve for x
    x = 1,660,500,268,816/590,833
  6. Step 6: Final answer
    x = 2,810,439.28

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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.