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Finding the Third Proportional to 435,636 and 938,024

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Solution

The third proportional to 435,636 and 938,024 is: 2,019,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,636 : 938,024 = 938,024 : x
  2. Step 2: Convert to fraction form
    435,636/938,024 = 938,024/x
  3. Step 3: Cross multiply
    435,636x = 938,024 × 938,024
  4. Step 4: Simplify right side
    435,636x = 879,889,024,576
  5. Step 5: Solve for x
    x = 879,889,024,576/435,636
  6. Step 6: Final answer
    x = 2,019,780.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.