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Finding the Third Proportional to 1,936,476 and 4,094,586

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Solution

The third proportional to 1,936,476 and 4,094,586 is: 8,657,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936,476 : 4,094,586 = 4,094,586 : x
  2. Step 2: Convert to fraction form
    1,936,476/4,094,586 = 4,094,586/x
  3. Step 3: Cross multiply
    1,936,476x = 4,094,586 × 4,094,586
  4. Step 4: Simplify right side
    1,936,476x = 16,765,634,511,396
  5. Step 5: Solve for x
    x = 16,765,634,511,396/1,936,476
  6. Step 6: Final answer
    x = 8,657,806.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.