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Finding the Third Proportional to 589,992 and 1,266,008

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Solution

The third proportional to 589,992 and 1,266,008 is: 2,716,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,992 : 1,266,008 = 1,266,008 : x
  2. Step 2: Convert to fraction form
    589,992/1,266,008 = 1,266,008/x
  3. Step 3: Cross multiply
    589,992x = 1,266,008 × 1,266,008
  4. Step 4: Simplify right side
    589,992x = 1,602,776,256,064
  5. Step 5: Solve for x
    x = 1,602,776,256,064/589,992
  6. Step 6: Final answer
    x = 2,716,606.76

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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.