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Finding the Third Proportional to 590,057.16 and 1,266,136.31

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Solution

The third proportional to 590,057.16 and 1,266,136.31 is: 2,716,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,057.16 : 1,266,136.31 = 1,266,136.31 : x
  2. Step 2: Convert to fraction form
    590,057.16/1,266,136.31 = 1,266,136.31/x
  3. Step 3: Cross multiply
    590,057.16x = 1,266,136.31 × 1,266,136.31
  4. Step 4: Simplify right side
    590,057.16x = 1,603,101,161,831.10
  5. Step 5: Solve for x
    x = 1,603,101,161,831.10/590,057.16
  6. Step 6: Final answer
    x = 2,716,857.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.