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Finding the Third Proportional to 295,416,698 and 683,836,781

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Solution

The third proportional to 295,416,698 and 683,836,781 is: 1,582,959,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,416,698 : 683,836,781 = 683,836,781 : x
  2. Step 2: Convert to fraction form
    295,416,698/683,836,781 = 683,836,781/x
  3. Step 3: Cross multiply
    295,416,698x = 683,836,781 × 683,836,781
  4. Step 4: Simplify right side
    295,416,698x = 467,632,743,048,441,984
  5. Step 5: Solve for x
    x = 467,632,743,048,441,984/295,416,698
  6. Step 6: Final answer
    x = 1,582,959,752.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.