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Finding the Third Proportional to 2,675,920 and 3,814,564

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Solution

The third proportional to 2,675,920 and 3,814,564 is: 5,437,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,920 : 3,814,564 = 3,814,564 : x
  2. Step 2: Convert to fraction form
    2,675,920/3,814,564 = 3,814,564/x
  3. Step 3: Cross multiply
    2,675,920x = 3,814,564 × 3,814,564
  4. Step 4: Simplify right side
    2,675,920x = 14,550,898,510,096
  5. Step 5: Solve for x
    x = 14,550,898,510,096/2,675,920
  6. Step 6: Final answer
    x = 5,437,718.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.