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Finding the Third Proportional to 632,894 and 1,289,288

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Solution

The third proportional to 632,894 and 1,289,288 is: 2,626,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,894 : 1,289,288 = 1,289,288 : x
  2. Step 2: Convert to fraction form
    632,894/1,289,288 = 1,289,288/x
  3. Step 3: Cross multiply
    632,894x = 1,289,288 × 1,289,288
  4. Step 4: Simplify right side
    632,894x = 1,662,263,546,944
  5. Step 5: Solve for x
    x = 1,662,263,546,944/632,894
  6. Step 6: Final answer
    x = 2,626,448.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.