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Finding the Third Proportional to 585,334 and 1,277,021

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Solution

The third proportional to 585,334 and 1,277,021 is: 2,786,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,334 : 1,277,021 = 1,277,021 : x
  2. Step 2: Convert to fraction form
    585,334/1,277,021 = 1,277,021/x
  3. Step 3: Cross multiply
    585,334x = 1,277,021 × 1,277,021
  4. Step 4: Simplify right side
    585,334x = 1,630,782,634,441
  5. Step 5: Solve for x
    x = 1,630,782,634,441/585,334
  6. Step 6: Final answer
    x = 2,786,071.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.