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Finding the Third Proportional to 764,804 and 1,649,346

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Solution

The third proportional to 764,804 and 1,649,346 is: 3,556,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,804 : 1,649,346 = 1,649,346 : x
  2. Step 2: Convert to fraction form
    764,804/1,649,346 = 1,649,346/x
  3. Step 3: Cross multiply
    764,804x = 1,649,346 × 1,649,346
  4. Step 4: Simplify right side
    764,804x = 2,720,342,227,716
  5. Step 5: Solve for x
    x = 2,720,342,227,716/764,804
  6. Step 6: Final answer
    x = 3,556,914.23

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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.