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Finding the Third Proportional to 573,814.13 and 1,340,220.94

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Solution

The third proportional to 573,814.13 and 1,340,220.94 is: 3,130,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,814.13 : 1,340,220.94 = 1,340,220.94 : x
  2. Step 2: Convert to fraction form
    573,814.13/1,340,220.94 = 1,340,220.94/x
  3. Step 3: Cross multiply
    573,814.13x = 1,340,220.94 × 1,340,220.94
  4. Step 4: Simplify right side
    573,814.13x = 1,796,192,161,313.38
  5. Step 5: Solve for x
    x = 1,796,192,161,313.38/573,814.13
  6. Step 6: Final answer
    x = 3,130,268.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.