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Finding the Third Proportional to 1,618,191 and 2,456,811

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Solution

The third proportional to 1,618,191 and 2,456,811 is: 3,730,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,191 : 2,456,811 = 2,456,811 : x
  2. Step 2: Convert to fraction form
    1,618,191/2,456,811 = 2,456,811/x
  3. Step 3: Cross multiply
    1,618,191x = 2,456,811 × 2,456,811
  4. Step 4: Simplify right side
    1,618,191x = 6,035,920,289,721
  5. Step 5: Solve for x
    x = 6,035,920,289,721/1,618,191
  6. Step 6: Final answer
    x = 3,730,041.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.