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Finding the Third Proportional to 613,466 and 1,256,679

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Solution

The third proportional to 613,466 and 1,256,679 is: 2,574,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,466 : 1,256,679 = 1,256,679 : x
  2. Step 2: Convert to fraction form
    613,466/1,256,679 = 1,256,679/x
  3. Step 3: Cross multiply
    613,466x = 1,256,679 × 1,256,679
  4. Step 4: Simplify right side
    613,466x = 1,579,242,109,041
  5. Step 5: Solve for x
    x = 1,579,242,109,041/613,466
  6. Step 6: Final answer
    x = 2,574,294.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.