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Finding the Third Proportional to 590,408 and 1,222,828

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Solution

The third proportional to 590,408 and 1,222,828 is: 2,532,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,408 : 1,222,828 = 1,222,828 : x
  2. Step 2: Convert to fraction form
    590,408/1,222,828 = 1,222,828/x
  3. Step 3: Cross multiply
    590,408x = 1,222,828 × 1,222,828
  4. Step 4: Simplify right side
    590,408x = 1,495,308,317,584
  5. Step 5: Solve for x
    x = 1,495,308,317,584/590,408
  6. Step 6: Final answer
    x = 2,532,669.47

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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.