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Finding the Third Proportional to 383,806,669 and 561,315,706

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Solution

The third proportional to 383,806,669 and 561,315,706 is: 820,921,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,806,669 : 561,315,706 = 561,315,706 : x
  2. Step 2: Convert to fraction form
    383,806,669/561,315,706 = 561,315,706/x
  3. Step 3: Cross multiply
    383,806,669x = 561,315,706 × 561,315,706
  4. Step 4: Simplify right side
    383,806,669x = 315,075,321,802,278,464
  5. Step 5: Solve for x
    x = 315,075,321,802,278,464/383,806,669
  6. Step 6: Final answer
    x = 820,921,956.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.