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Finding the Third Proportional to 416,874,318 and 890,998,464

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Solution

The third proportional to 416,874,318 and 890,998,464 is: 1,904,358,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,874,318 : 890,998,464 = 890,998,464 : x
  2. Step 2: Convert to fraction form
    416,874,318/890,998,464 = 890,998,464/x
  3. Step 3: Cross multiply
    416,874,318x = 890,998,464 × 890,998,464
  4. Step 4: Simplify right side
    416,874,318x = 793,878,262,850,359,296
  5. Step 5: Solve for x
    x = 793,878,262,850,359,296/416,874,318
  6. Step 6: Final answer
    x = 1,904,358,768.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.