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Finding the Third Proportional to 764,802 and 1,649,342

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Solution

The third proportional to 764,802 and 1,649,342 is: 3,556,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,802 : 1,649,342 = 1,649,342 : x
  2. Step 2: Convert to fraction form
    764,802/1,649,342 = 1,649,342/x
  3. Step 3: Cross multiply
    764,802x = 1,649,342 × 1,649,342
  4. Step 4: Simplify right side
    764,802x = 2,720,329,032,964
  5. Step 5: Solve for x
    x = 2,720,329,032,964/764,802
  6. Step 6: Final answer
    x = 3,556,906.28

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