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Finding the Third Proportional to 506,998 and 1,101,578

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Solution

The third proportional to 506,998 and 1,101,578 is: 2,393,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,998 : 1,101,578 = 1,101,578 : x
  2. Step 2: Convert to fraction form
    506,998/1,101,578 = 1,101,578/x
  3. Step 3: Cross multiply
    506,998x = 1,101,578 × 1,101,578
  4. Step 4: Simplify right side
    506,998x = 1,213,474,090,084
  5. Step 5: Solve for x
    x = 1,213,474,090,084/506,998
  6. Step 6: Final answer
    x = 2,393,449.46

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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.