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Finding the Third Proportional to 613,468 and 1,256,683

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Solution

The third proportional to 613,468 and 1,256,683 is: 2,574,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,468 : 1,256,683 = 1,256,683 : x
  2. Step 2: Convert to fraction form
    613,468/1,256,683 = 1,256,683/x
  3. Step 3: Cross multiply
    613,468x = 1,256,683 × 1,256,683
  4. Step 4: Simplify right side
    613,468x = 1,579,252,162,489
  5. Step 5: Solve for x
    x = 1,579,252,162,489/613,468
  6. Step 6: Final answer
    x = 2,574,302.43

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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.