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Finding the Third Proportional to 1,214,446.50 and 1,782,300.38

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Solution

The third proportional to 1,214,446.50 and 1,782,300.38 is: 2,615,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,446.50 : 1,782,300.38 = 1,782,300.38 : x
  2. Step 2: Convert to fraction form
    1,214,446.50/1,782,300.38 = 1,782,300.38/x
  3. Step 3: Cross multiply
    1,214,446.50x = 1,782,300.38 × 1,782,300.38
  4. Step 4: Simplify right side
    1,214,446.50x = 3,176,594,626,725.14
  5. Step 5: Solve for x
    x = 3,176,594,626,725.14/1,214,446.50
  6. Step 6: Final answer
    x = 2,615,672.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.