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Finding the Third Proportional to 516,645 and 1,122,938

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Solution

The third proportional to 516,645 and 1,122,938 is: 2,440,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,645 : 1,122,938 = 1,122,938 : x
  2. Step 2: Convert to fraction form
    516,645/1,122,938 = 1,122,938/x
  3. Step 3: Cross multiply
    516,645x = 1,122,938 × 1,122,938
  4. Step 4: Simplify right side
    516,645x = 1,260,989,751,844
  5. Step 5: Solve for x
    x = 1,260,989,751,844/516,645
  6. Step 6: Final answer
    x = 2,440,727.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.