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Finding the Third Proportional to 947,478 and 2,054,577

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Solution

The third proportional to 947,478 and 2,054,577 is: 4,455,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,478 : 2,054,577 = 2,054,577 : x
  2. Step 2: Convert to fraction form
    947,478/2,054,577 = 2,054,577/x
  3. Step 3: Cross multiply
    947,478x = 2,054,577 × 2,054,577
  4. Step 4: Simplify right side
    947,478x = 4,221,286,648,929
  5. Step 5: Solve for x
    x = 4,221,286,648,929/947,478
  6. Step 6: Final answer
    x = 4,455,287.25

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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.