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Finding the Third Proportional to 1,417,916 and 2,179,436

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Solution

The third proportional to 1,417,916 and 2,179,436 is: 3,349,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,916 : 2,179,436 = 2,179,436 : x
  2. Step 2: Convert to fraction form
    1,417,916/2,179,436 = 2,179,436/x
  3. Step 3: Cross multiply
    1,417,916x = 2,179,436 × 2,179,436
  4. Step 4: Simplify right side
    1,417,916x = 4,749,941,278,096
  5. Step 5: Solve for x
    x = 4,749,941,278,096/1,417,916
  6. Step 6: Final answer
    x = 3,349,945.47

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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.