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Finding the Third Proportional to 947,482 and 2,054,583

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Solution

The third proportional to 947,482 and 2,054,583 is: 4,455,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,482 : 2,054,583 = 2,054,583 : x
  2. Step 2: Convert to fraction form
    947,482/2,054,583 = 2,054,583/x
  3. Step 3: Cross multiply
    947,482x = 2,054,583 × 2,054,583
  4. Step 4: Simplify right side
    947,482x = 4,221,311,303,889
  5. Step 5: Solve for x
    x = 4,221,311,303,889/947,482
  6. Step 6: Final answer
    x = 4,455,294.46

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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.