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Finding the Third Proportional to 764,786 and 1,649,310

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Solution

The third proportional to 764,786 and 1,649,310 is: 3,556,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,786 : 1,649,310 = 1,649,310 : x
  2. Step 2: Convert to fraction form
    764,786/1,649,310 = 1,649,310/x
  3. Step 3: Cross multiply
    764,786x = 1,649,310 × 1,649,310
  4. Step 4: Simplify right side
    764,786x = 2,720,223,476,100
  5. Step 5: Solve for x
    x = 2,720,223,476,100/764,786
  6. Step 6: Final answer
    x = 3,556,842.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.