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Finding the Third Proportional to 613,056 and 910,834

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Solution

The third proportional to 613,056 and 910,834 is: 1,353,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,056 : 910,834 = 910,834 : x
  2. Step 2: Convert to fraction form
    613,056/910,834 = 910,834/x
  3. Step 3: Cross multiply
    613,056x = 910,834 × 910,834
  4. Step 4: Simplify right side
    613,056x = 829,618,575,556
  5. Step 5: Solve for x
    x = 829,618,575,556/613,056
  6. Step 6: Final answer
    x = 1,353,250.89

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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.