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Finding the Third Proportional to 1,738,152.42 and 2,507,583.45

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Solution

The third proportional to 1,738,152.42 and 2,507,583.45 is: 3,617,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,152.42 : 2,507,583.45 = 2,507,583.45 : x
  2. Step 2: Convert to fraction form
    1,738,152.42/2,507,583.45 = 2,507,583.45/x
  3. Step 3: Cross multiply
    1,738,152.42x = 2,507,583.45 × 2,507,583.45
  4. Step 4: Simplify right side
    1,738,152.42x = 6,287,974,735,205.31
  5. Step 5: Solve for x
    x = 6,287,974,735,205.31/1,738,152.42
  6. Step 6: Final answer
    x = 3,617,619.87

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Why These Related Problems?

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