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Finding the Third Proportional to 435,639 and 938,031

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Solution

The third proportional to 435,639 and 938,031 is: 2,019,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,639 : 938,031 = 938,031 : x
  2. Step 2: Convert to fraction form
    435,639/938,031 = 938,031/x
  3. Step 3: Cross multiply
    435,639x = 938,031 × 938,031
  4. Step 4: Simplify right side
    435,639x = 879,902,156,961
  5. Step 5: Solve for x
    x = 879,902,156,961/435,639
  6. Step 6: Final answer
    x = 2,019,796.57

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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.