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Finding the Third Proportional to 764,688 and 1,663,512

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Solution

The third proportional to 764,688 and 1,663,512 is: 3,618,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,688 : 1,663,512 = 1,663,512 : x
  2. Step 2: Convert to fraction form
    764,688/1,663,512 = 1,663,512/x
  3. Step 3: Cross multiply
    764,688x = 1,663,512 × 1,663,512
  4. Step 4: Simplify right side
    764,688x = 2,767,272,174,144
  5. Step 5: Solve for x
    x = 2,767,272,174,144/764,688
  6. Step 6: Final answer
    x = 3,618,825.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.