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Finding the Third Proportional to 719,568 and 1,073,520

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Solution

The third proportional to 719,568 and 1,073,520 is: 1,601,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,568 : 1,073,520 = 1,073,520 : x
  2. Step 2: Convert to fraction form
    719,568/1,073,520 = 1,073,520/x
  3. Step 3: Cross multiply
    719,568x = 1,073,520 × 1,073,520
  4. Step 4: Simplify right side
    719,568x = 1,152,445,190,400
  5. Step 5: Solve for x
    x = 1,152,445,190,400/719,568
  6. Step 6: Final answer
    x = 1,601,579.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.