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Finding the Third Proportional to 1,214,453 and 1,782,313

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Solution

The third proportional to 1,214,453 and 1,782,313 is: 2,615,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,453 : 1,782,313 = 1,782,313 : x
  2. Step 2: Convert to fraction form
    1,214,453/1,782,313 = 1,782,313/x
  3. Step 3: Cross multiply
    1,214,453x = 1,782,313 × 1,782,313
  4. Step 4: Simplify right side
    1,214,453x = 3,176,639,629,969
  5. Step 5: Solve for x
    x = 3,176,639,629,969/1,214,453
  6. Step 6: Final answer
    x = 2,615,695.82

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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.