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Finding the Third Proportional to 408,046,056 and 885,370,422

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Solution

The third proportional to 408,046,056 and 885,370,422 is: 1,921,059,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,056 : 885,370,422 = 885,370,422 : x
  2. Step 2: Convert to fraction form
    408,046,056/885,370,422 = 885,370,422/x
  3. Step 3: Cross multiply
    408,046,056x = 885,370,422 × 885,370,422
  4. Step 4: Simplify right side
    408,046,056x = 783,880,784,152,458,112
  5. Step 5: Solve for x
    x = 783,880,784,152,458,112/408,046,056
  6. Step 6: Final answer
    x = 1,921,059,578.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.