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Finding the Third Proportional to 317,152,440 and 682,890,039

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Solution

The third proportional to 317,152,440 and 682,890,039 is: 1,470,393,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,152,440 : 682,890,039 = 682,890,039 : x
  2. Step 2: Convert to fraction form
    317,152,440/682,890,039 = 682,890,039/x
  3. Step 3: Cross multiply
    317,152,440x = 682,890,039 × 682,890,039
  4. Step 4: Simplify right side
    317,152,440x = 466,338,805,365,421,504
  5. Step 5: Solve for x
    x = 466,338,805,365,421,504/317,152,440
  6. Step 6: Final answer
    x = 1,470,393,244.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.