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Finding the Third Proportional to 1,536,448.50 and 2,213,152.88

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Solution

The third proportional to 1,536,448.50 and 2,213,152.88 is: 3,187,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,448.50 : 2,213,152.88 = 2,213,152.88 : x
  2. Step 2: Convert to fraction form
    1,536,448.50/2,213,152.88 = 2,213,152.88/x
  3. Step 3: Cross multiply
    1,536,448.50x = 2,213,152.88 × 2,213,152.88
  4. Step 4: Simplify right side
    1,536,448.50x = 4,898,045,648,120.77
  5. Step 5: Solve for x
    x = 4,898,045,648,120.77/1,536,448.50
  6. Step 6: Final answer
    x = 3,187,900.96

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.