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Finding the Third Proportional to 623,063 and 933,546

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Solution

The third proportional to 623,063 and 933,546 is: 1,398,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,063 : 933,546 = 933,546 : x
  2. Step 2: Convert to fraction form
    623,063/933,546 = 933,546/x
  3. Step 3: Cross multiply
    623,063x = 933,546 × 933,546
  4. Step 4: Simplify right side
    623,063x = 871,508,134,116
  5. Step 5: Solve for x
    x = 871,508,134,116/623,063
  6. Step 6: Final answer
    x = 1,398,748.01

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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.