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Finding the Third Proportional to 786,736.50 and 1,214,856

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Solution

The third proportional to 786,736.50 and 1,214,856 is: 1,875,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,736.50 : 1,214,856 = 1,214,856 : x
  2. Step 2: Convert to fraction form
    786,736.50/1,214,856 = 1,214,856/x
  3. Step 3: Cross multiply
    786,736.50x = 1,214,856 × 1,214,856
  4. Step 4: Simplify right side
    786,736.50x = 1,475,875,100,736
  5. Step 5: Solve for x
    x = 1,475,875,100,736/786,736.50
  6. Step 6: Final answer
    x = 1,875,945.89

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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.