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Finding the Third Proportional to 613,452 and 941,607

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Solution

The third proportional to 613,452 and 941,607 is: 1,445,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,452 : 941,607 = 941,607 : x
  2. Step 2: Convert to fraction form
    613,452/941,607 = 941,607/x
  3. Step 3: Cross multiply
    613,452x = 941,607 × 941,607
  4. Step 4: Simplify right side
    613,452x = 886,623,742,449
  5. Step 5: Solve for x
    x = 886,623,742,449/613,452
  6. Step 6: Final answer
    x = 1,445,302.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.