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Finding the Third Proportional to 719,241 and 1,036,021

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Solution

The third proportional to 719,241 and 1,036,021 is: 1,492,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,241 : 1,036,021 = 1,036,021 : x
  2. Step 2: Convert to fraction form
    719,241/1,036,021 = 1,036,021/x
  3. Step 3: Cross multiply
    719,241x = 1,036,021 × 1,036,021
  4. Step 4: Simplify right side
    719,241x = 1,073,339,512,441
  5. Step 5: Solve for x
    x = 1,073,339,512,441/719,241
  6. Step 6: Final answer
    x = 1,492,322.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.