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Finding the Third Proportional to 623,114 and 933,624

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Solution

The third proportional to 623,114 and 933,624 is: 1,398,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,114 : 933,624 = 933,624 : x
  2. Step 2: Convert to fraction form
    623,114/933,624 = 933,624/x
  3. Step 3: Cross multiply
    623,114x = 933,624 × 933,624
  4. Step 4: Simplify right side
    623,114x = 871,653,773,376
  5. Step 5: Solve for x
    x = 871,653,773,376/623,114
  6. Step 6: Final answer
    x = 1,398,867.26

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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.