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Finding the Third Proportional to 755,102.25 and 1,166,582.25

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Solution

The third proportional to 755,102.25 and 1,166,582.25 is: 1,802,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,102.25 : 1,166,582.25 = 1,166,582.25 : x
  2. Step 2: Convert to fraction form
    755,102.25/1,166,582.25 = 1,166,582.25/x
  3. Step 3: Cross multiply
    755,102.25x = 1,166,582.25 × 1,166,582.25
  4. Step 4: Simplify right side
    755,102.25x = 1,360,914,146,015.06
  5. Step 5: Solve for x
    x = 1,360,914,146,015.06/755,102.25
  6. Step 6: Final answer
    x = 1,802,291.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.