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Finding the Third Proportional to 1,826,454 and 2,908,811

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Solution

The third proportional to 1,826,454 and 2,908,811 is: 4,632,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,454 : 2,908,811 = 2,908,811 : x
  2. Step 2: Convert to fraction form
    1,826,454/2,908,811 = 2,908,811/x
  3. Step 3: Cross multiply
    1,826,454x = 2,908,811 × 2,908,811
  4. Step 4: Simplify right side
    1,826,454x = 8,461,181,433,721
  5. Step 5: Solve for x
    x = 8,461,181,433,721/1,826,454
  6. Step 6: Final answer
    x = 4,632,572.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.