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Finding the Third Proportional to 613,054 and 910,831

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Solution

The third proportional to 613,054 and 910,831 is: 1,353,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,054 : 910,831 = 910,831 : x
  2. Step 2: Convert to fraction form
    613,054/910,831 = 910,831/x
  3. Step 3: Cross multiply
    613,054x = 910,831 × 910,831
  4. Step 4: Simplify right side
    613,054x = 829,613,110,561
  5. Step 5: Solve for x
    x = 829,613,110,561/613,054
  6. Step 6: Final answer
    x = 1,353,246.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.