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Finding the Third Proportional to 654,483 and 960,168

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Solution

The third proportional to 654,483 and 960,168 is: 1,408,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,483 : 960,168 = 960,168 : x
  2. Step 2: Convert to fraction form
    654,483/960,168 = 960,168/x
  3. Step 3: Cross multiply
    654,483x = 960,168 × 960,168
  4. Step 4: Simplify right side
    654,483x = 921,922,588,224
  5. Step 5: Solve for x
    x = 921,922,588,224/654,483
  6. Step 6: Final answer
    x = 1,408,627.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.