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Finding the Third Proportional to 590,396 and 1,222,802

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Solution

The third proportional to 590,396 and 1,222,802 is: 2,532,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,396 : 1,222,802 = 1,222,802 : x
  2. Step 2: Convert to fraction form
    590,396/1,222,802 = 1,222,802/x
  3. Step 3: Cross multiply
    590,396x = 1,222,802 × 1,222,802
  4. Step 4: Simplify right side
    590,396x = 1,495,244,731,204
  5. Step 5: Solve for x
    x = 1,495,244,731,204/590,396
  6. Step 6: Final answer
    x = 2,532,613.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.