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Finding the Third Proportional to 2,141,300 and 3,152,766

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Solution

The third proportional to 2,141,300 and 3,152,766 is: 4,642,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,300 : 3,152,766 = 3,152,766 : x
  2. Step 2: Convert to fraction form
    2,141,300/3,152,766 = 3,152,766/x
  3. Step 3: Cross multiply
    2,141,300x = 3,152,766 × 3,152,766
  4. Step 4: Simplify right side
    2,141,300x = 9,939,933,450,756
  5. Step 5: Solve for x
    x = 9,939,933,450,756/2,141,300
  6. Step 6: Final answer
    x = 4,642,008.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.