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Finding the Third Proportional to 613,054 and 910,833

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Solution

The third proportional to 613,054 and 910,833 is: 1,353,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,054 : 910,833 = 910,833 : x
  2. Step 2: Convert to fraction form
    613,054/910,833 = 910,833/x
  3. Step 3: Cross multiply
    613,054x = 910,833 × 910,833
  4. Step 4: Simplify right side
    613,054x = 829,616,753,889
  5. Step 5: Solve for x
    x = 829,616,753,889/613,054
  6. Step 6: Final answer
    x = 1,353,252.33

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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.