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Finding the Third Proportional to 768,059 and 1,106,341

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Solution

The third proportional to 768,059 and 1,106,341 is: 1,593,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,059 : 1,106,341 = 1,106,341 : x
  2. Step 2: Convert to fraction form
    768,059/1,106,341 = 1,106,341/x
  3. Step 3: Cross multiply
    768,059x = 1,106,341 × 1,106,341
  4. Step 4: Simplify right side
    768,059x = 1,223,990,408,281
  5. Step 5: Solve for x
    x = 1,223,990,408,281/768,059
  6. Step 6: Final answer
    x = 1,593,615.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.