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Finding the Third Proportional to 1,446,471 and 3,150,094.50

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Solution

The third proportional to 1,446,471 and 3,150,094.50 is: 6,860,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,471 : 3,150,094.50 = 3,150,094.50 : x
  2. Step 2: Convert to fraction form
    1,446,471/3,150,094.50 = 3,150,094.50/x
  3. Step 3: Cross multiply
    1,446,471x = 3,150,094.50 × 3,150,094.50
  4. Step 4: Simplify right side
    1,446,471x = 9,923,095,358,930.25
  5. Step 5: Solve for x
    x = 9,923,095,358,930.25/1,446,471
  6. Step 6: Final answer
    x = 6,860,210.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.