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Finding the Third Proportional to 435,888 and 940,584

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Solution

The third proportional to 435,888 and 940,584 is: 2,029,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,888 : 940,584 = 940,584 : x
  2. Step 2: Convert to fraction form
    435,888/940,584 = 940,584/x
  3. Step 3: Cross multiply
    435,888x = 940,584 × 940,584
  4. Step 4: Simplify right side
    435,888x = 884,698,261,056
  5. Step 5: Solve for x
    x = 884,698,261,056/435,888
  6. Step 6: Final answer
    x = 2,029,645.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.