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Finding the Third Proportional to 622,431 and 1,357,938

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Solution

The third proportional to 622,431 and 1,357,938 is: 2,962,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,431 : 1,357,938 = 1,357,938 : x
  2. Step 2: Convert to fraction form
    622,431/1,357,938 = 1,357,938/x
  3. Step 3: Cross multiply
    622,431x = 1,357,938 × 1,357,938
  4. Step 4: Simplify right side
    622,431x = 1,843,995,611,844
  5. Step 5: Solve for x
    x = 1,843,995,611,844/622,431
  6. Step 6: Final answer
    x = 2,962,570.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.