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Finding the Third Proportional to 623,122 and 933,631

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Solution

The third proportional to 623,122 and 933,631 is: 1,398,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,122 : 933,631 = 933,631 : x
  2. Step 2: Convert to fraction form
    623,122/933,631 = 933,631/x
  3. Step 3: Cross multiply
    623,122x = 933,631 × 933,631
  4. Step 4: Simplify right side
    623,122x = 871,666,844,161
  5. Step 5: Solve for x
    x = 871,666,844,161/623,122
  6. Step 6: Final answer
    x = 1,398,870.28

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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.