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Finding the Third Proportional to 613,560 and 1,256,862

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Solution

The third proportional to 613,560 and 1,256,862 is: 2,574,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,560 : 1,256,862 = 1,256,862 : x
  2. Step 2: Convert to fraction form
    613,560/1,256,862 = 1,256,862/x
  3. Step 3: Cross multiply
    613,560x = 1,256,862 × 1,256,862
  4. Step 4: Simplify right side
    613,560x = 1,579,702,087,044
  5. Step 5: Solve for x
    x = 1,579,702,087,044/613,560
  6. Step 6: Final answer
    x = 2,574,649.73

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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.