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Finding the Third Proportional to 623,118 and 933,636

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Solution

The third proportional to 623,118 and 933,636 is: 1,398,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,118 : 933,636 = 933,636 : x
  2. Step 2: Convert to fraction form
    623,118/933,636 = 933,636/x
  3. Step 3: Cross multiply
    623,118x = 933,636 × 933,636
  4. Step 4: Simplify right side
    623,118x = 871,676,180,496
  5. Step 5: Solve for x
    x = 871,676,180,496/623,118
  6. Step 6: Final answer
    x = 1,398,894.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.