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Finding the Third Proportional to 1,292,994 and 2,743,596

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Solution

The third proportional to 1,292,994 and 2,743,596 is: 5,821,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,994 : 2,743,596 = 2,743,596 : x
  2. Step 2: Convert to fraction form
    1,292,994/2,743,596 = 2,743,596/x
  3. Step 3: Cross multiply
    1,292,994x = 2,743,596 × 2,743,596
  4. Step 4: Simplify right side
    1,292,994x = 7,527,319,011,216
  5. Step 5: Solve for x
    x = 7,527,319,011,216/1,292,994
  6. Step 6: Final answer
    x = 5,821,619.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.