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Finding the Third Proportional to 416,874,324 and 890,998,476

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Solution

The third proportional to 416,874,324 and 890,998,476 is: 1,904,358,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,874,324 : 890,998,476 = 890,998,476 : x
  2. Step 2: Convert to fraction form
    416,874,324/890,998,476 = 890,998,476/x
  3. Step 3: Cross multiply
    416,874,324x = 890,998,476 × 890,998,476
  4. Step 4: Simplify right side
    416,874,324x = 793,878,284,234,322,560
  5. Step 5: Solve for x
    x = 793,878,284,234,322,560/416,874,324
  6. Step 6: Final answer
    x = 1,904,358,792.40

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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.