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Finding the Third Proportional to 452,805.19 and 942,814.13

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Solution

The third proportional to 452,805.19 and 942,814.13 is: 1,963,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,805.19 : 942,814.13 = 942,814.13 : x
  2. Step 2: Convert to fraction form
    452,805.19/942,814.13 = 942,814.13/x
  3. Step 3: Cross multiply
    452,805.19x = 942,814.13 × 942,814.13
  4. Step 4: Simplify right side
    452,805.19x = 888,898,474,299.52
  5. Step 5: Solve for x
    x = 888,898,474,299.52/452,805.19
  6. Step 6: Final answer
    x = 1,963,092.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.