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Finding the Third Proportional to 584,838 and 1,215,628

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Solution

The third proportional to 584,838 and 1,215,628 is: 2,526,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,838 : 1,215,628 = 1,215,628 : x
  2. Step 2: Convert to fraction form
    584,838/1,215,628 = 1,215,628/x
  3. Step 3: Cross multiply
    584,838x = 1,215,628 × 1,215,628
  4. Step 4: Simplify right side
    584,838x = 1,477,751,434,384
  5. Step 5: Solve for x
    x = 1,477,751,434,384/584,838
  6. Step 6: Final answer
    x = 2,526,770.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.