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Finding the Third Proportional to 1,144,516.08 and 1,525,717.27

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Solution

The third proportional to 1,144,516.08 and 1,525,717.27 is: 2,033,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,516.08 : 1,525,717.27 = 1,525,717.27 : x
  2. Step 2: Convert to fraction form
    1,144,516.08/1,525,717.27 = 1,525,717.27/x
  3. Step 3: Cross multiply
    1,144,516.08x = 1,525,717.27 × 1,525,717.27
  4. Step 4: Simplify right side
    1,144,516.08x = 2,327,813,174,626.23
  5. Step 5: Solve for x
    x = 2,327,813,174,626.23/1,144,516.08
  6. Step 6: Final answer
    x = 2,033,884.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.