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Finding the Third Proportional to 477,151,716 and 1,043,620,296

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Solution

The third proportional to 477,151,716 and 1,043,620,296 is: 2,282,593,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,151,716 : 1,043,620,296 = 1,043,620,296 : x
  2. Step 2: Convert to fraction form
    477,151,716/1,043,620,296 = 1,043,620,296/x
  3. Step 3: Cross multiply
    477,151,716x = 1,043,620,296 × 1,043,620,296
  4. Step 4: Simplify right side
    477,151,716x = 1,089,143,322,223,127,552
  5. Step 5: Solve for x
    x = 1,089,143,322,223,127,552/477,151,716
  6. Step 6: Final answer
    x = 2,282,593,325.56

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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.