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Finding the Third Proportional to 850,342.50 and 1,289,011

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Solution

The third proportional to 850,342.50 and 1,289,011 is: 1,953,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,342.50 : 1,289,011 = 1,289,011 : x
  2. Step 2: Convert to fraction form
    850,342.50/1,289,011 = 1,289,011/x
  3. Step 3: Cross multiply
    850,342.50x = 1,289,011 × 1,289,011
  4. Step 4: Simplify right side
    850,342.50x = 1,661,549,358,121
  5. Step 5: Solve for x
    x = 1,661,549,358,121/850,342.50
  6. Step 6: Final answer
    x = 1,953,976.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.