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Finding the Third Proportional to 430,584 and 933,744

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Solution

The third proportional to 430,584 and 933,744 is: 2,024,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,584 : 933,744 = 933,744 : x
  2. Step 2: Convert to fraction form
    430,584/933,744 = 933,744/x
  3. Step 3: Cross multiply
    430,584x = 933,744 × 933,744
  4. Step 4: Simplify right side
    430,584x = 871,877,857,536
  5. Step 5: Solve for x
    x = 871,877,857,536/430,584
  6. Step 6: Final answer
    x = 2,024,872.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.