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Finding the Third Proportional to 408,045,992 and 885,370,295

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Solution

The third proportional to 408,045,992 and 885,370,295 is: 1,921,059,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,992 : 885,370,295 = 885,370,295 : x
  2. Step 2: Convert to fraction form
    408,045,992/885,370,295 = 885,370,295/x
  3. Step 3: Cross multiply
    408,045,992x = 885,370,295 × 885,370,295
  4. Step 4: Simplify right side
    408,045,992x = 783,880,559,268,387,072
  5. Step 5: Solve for x
    x = 783,880,559,268,387,072/408,045,992
  6. Step 6: Final answer
    x = 1,921,059,328.21

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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.