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Finding the Third Proportional to 2,453,815.13 and 3,747,152.81

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Solution

The third proportional to 2,453,815.13 and 3,747,152.81 is: 5,722,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453,815.13 : 3,747,152.81 = 3,747,152.81 : x
  2. Step 2: Convert to fraction form
    2,453,815.13/3,747,152.81 = 3,747,152.81/x
  3. Step 3: Cross multiply
    2,453,815.13x = 3,747,152.81 × 3,747,152.81
  4. Step 4: Simplify right side
    2,453,815.13x = 14,041,154,200,226.66
  5. Step 5: Solve for x
    x = 14,041,154,200,226.66/2,453,815.13
  6. Step 6: Final answer
    x = 5,722,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.