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Finding the Third Proportional to 602,298 and 1,309,568

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Solution

The third proportional to 602,298 and 1,309,568 is: 2,847,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,298 : 1,309,568 = 1,309,568 : x
  2. Step 2: Convert to fraction form
    602,298/1,309,568 = 1,309,568/x
  3. Step 3: Cross multiply
    602,298x = 1,309,568 × 1,309,568
  4. Step 4: Simplify right side
    602,298x = 1,714,968,346,624
  5. Step 5: Solve for x
    x = 1,714,968,346,624/602,298
  6. Step 6: Final answer
    x = 2,847,375.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.