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Finding the Third Proportional to 904,725.50 and 1,378,313.84

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Solution

The third proportional to 904,725.50 and 1,378,313.84 is: 2,099,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,725.50 : 1,378,313.84 = 1,378,313.84 : x
  2. Step 2: Convert to fraction form
    904,725.50/1,378,313.84 = 1,378,313.84/x
  3. Step 3: Cross multiply
    904,725.50x = 1,378,313.84 × 1,378,313.84
  4. Step 4: Simplify right side
    904,725.50x = 1,899,749,051,872.90
  5. Step 5: Solve for x
    x = 1,899,749,051,872.90/904,725.50
  6. Step 6: Final answer
    x = 2,099,807.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.