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Finding the Third Proportional to 866,036.25 and 1,247,494.50

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Solution

The third proportional to 866,036.25 and 1,247,494.50 is: 1,796,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,036.25 : 1,247,494.50 = 1,247,494.50 : x
  2. Step 2: Convert to fraction form
    866,036.25/1,247,494.50 = 1,247,494.50/x
  3. Step 3: Cross multiply
    866,036.25x = 1,247,494.50 × 1,247,494.50
  4. Step 4: Simplify right side
    866,036.25x = 1,556,242,527,530.25
  5. Step 5: Solve for x
    x = 1,556,242,527,530.25/866,036.25
  6. Step 6: Final answer
    x = 1,796,971.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.