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Finding the Third Proportional to 590,452 and 1,222,924

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Solution

The third proportional to 590,452 and 1,222,924 is: 2,532,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,452 : 1,222,924 = 1,222,924 : x
  2. Step 2: Convert to fraction form
    590,452/1,222,924 = 1,222,924/x
  3. Step 3: Cross multiply
    590,452x = 1,222,924 × 1,222,924
  4. Step 4: Simplify right side
    590,452x = 1,495,543,109,776
  5. Step 5: Solve for x
    x = 1,495,543,109,776/590,452
  6. Step 6: Final answer
    x = 2,532,878.39

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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.