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Finding the Third Proportional to 1,332,824 and 1,899,516

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Solution

The third proportional to 1,332,824 and 1,899,516 is: 2,707,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,824 : 1,899,516 = 1,899,516 : x
  2. Step 2: Convert to fraction form
    1,332,824/1,899,516 = 1,899,516/x
  3. Step 3: Cross multiply
    1,332,824x = 1,899,516 × 1,899,516
  4. Step 4: Simplify right side
    1,332,824x = 3,608,161,034,256
  5. Step 5: Solve for x
    x = 3,608,161,034,256/1,332,824
  6. Step 6: Final answer
    x = 2,707,154.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.