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Finding the Third Proportional to 435,908 and 938,611

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Solution

The third proportional to 435,908 and 938,611 is: 2,021,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,908 : 938,611 = 938,611 : x
  2. Step 2: Convert to fraction form
    435,908/938,611 = 938,611/x
  3. Step 3: Cross multiply
    435,908x = 938,611 × 938,611
  4. Step 4: Simplify right side
    435,908x = 880,990,609,321
  5. Step 5: Solve for x
    x = 880,990,609,321/435,908
  6. Step 6: Final answer
    x = 2,021,047.12

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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.