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Finding the Third Proportional to 970,803 and 1,519,578

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Solution

The third proportional to 970,803 and 1,519,578 is: 2,378,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,803 : 1,519,578 = 1,519,578 : x
  2. Step 2: Convert to fraction form
    970,803/1,519,578 = 1,519,578/x
  3. Step 3: Cross multiply
    970,803x = 1,519,578 × 1,519,578
  4. Step 4: Simplify right side
    970,803x = 2,309,117,298,084
  5. Step 5: Solve for x
    x = 2,309,117,298,084/970,803
  6. Step 6: Final answer
    x = 2,378,564.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.