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Finding the Third Proportional to 622,423 and 1,365,374

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Solution

The third proportional to 622,423 and 1,365,374 is: 2,995,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,423 : 1,365,374 = 1,365,374 : x
  2. Step 2: Convert to fraction form
    622,423/1,365,374 = 1,365,374/x
  3. Step 3: Cross multiply
    622,423x = 1,365,374 × 1,365,374
  4. Step 4: Simplify right side
    622,423x = 1,864,246,159,876
  5. Step 5: Solve for x
    x = 1,864,246,159,876/622,423
  6. Step 6: Final answer
    x = 2,995,143.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.