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Finding the Third Proportional to 622,143 and 1,332,408

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Solution

The third proportional to 622,143 and 1,332,408 is: 2,853,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,143 : 1,332,408 = 1,332,408 : x
  2. Step 2: Convert to fraction form
    622,143/1,332,408 = 1,332,408/x
  3. Step 3: Cross multiply
    622,143x = 1,332,408 × 1,332,408
  4. Step 4: Simplify right side
    622,143x = 1,775,311,078,464
  5. Step 5: Solve for x
    x = 1,775,311,078,464/622,143
  6. Step 6: Final answer
    x = 2,853,541.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.