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Finding the Third Proportional to 1,470,399.75 and 3,223,773

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Solution

The third proportional to 1,470,399.75 and 3,223,773 is: 7,067,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,399.75 : 3,223,773 = 3,223,773 : x
  2. Step 2: Convert to fraction form
    1,470,399.75/3,223,773 = 3,223,773/x
  3. Step 3: Cross multiply
    1,470,399.75x = 3,223,773 × 3,223,773
  4. Step 4: Simplify right side
    1,470,399.75x = 10,392,712,355,529
  5. Step 5: Solve for x
    x = 10,392,712,355,529/1,470,399.75
  6. Step 6: Final answer
    x = 7,067,950.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.