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Finding the Third Proportional to 483,148,326 and 738,774,210

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Solution

The third proportional to 483,148,326 and 738,774,210 is: 1,129,647,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,148,326 : 738,774,210 = 738,774,210 : x
  2. Step 2: Convert to fraction form
    483,148,326/738,774,210 = 738,774,210/x
  3. Step 3: Cross multiply
    483,148,326x = 738,774,210 × 738,774,210
  4. Step 4: Simplify right side
    483,148,326x = 545,787,333,361,124,096
  5. Step 5: Solve for x
    x = 545,787,333,361,124,096/483,148,326
  6. Step 6: Final answer
    x = 1,129,647,571.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.