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Finding the Third Proportional to 477,151,704 and 1,043,620,272

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Solution

The third proportional to 477,151,704 and 1,043,620,272 is: 2,282,593,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,151,704 : 1,043,620,272 = 1,043,620,272 : x
  2. Step 2: Convert to fraction form
    477,151,704/1,043,620,272 = 1,043,620,272/x
  3. Step 3: Cross multiply
    477,151,704x = 1,043,620,272 × 1,043,620,272
  4. Step 4: Simplify right side
    477,151,704x = 1,089,143,272,129,353,984
  5. Step 5: Solve for x
    x = 1,089,143,272,129,353,984/477,151,704
  6. Step 6: Final answer
    x = 2,282,593,277.98

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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.