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Finding the Third Proportional to 719,388 and 1,458,945

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Solution

The third proportional to 719,388 and 1,458,945 is: 2,958,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,388 : 1,458,945 = 1,458,945 : x
  2. Step 2: Convert to fraction form
    719,388/1,458,945 = 1,458,945/x
  3. Step 3: Cross multiply
    719,388x = 1,458,945 × 1,458,945
  4. Step 4: Simplify right side
    719,388x = 2,128,520,513,025
  5. Step 5: Solve for x
    x = 2,128,520,513,025/719,388
  6. Step 6: Final answer
    x = 2,958,793.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.