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Finding the Third Proportional to 408,045,980 and 885,370,274

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Solution

The third proportional to 408,045,980 and 885,370,274 is: 1,921,059,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,980 : 885,370,274 = 885,370,274 : x
  2. Step 2: Convert to fraction form
    408,045,980/885,370,274 = 885,370,274/x
  3. Step 3: Cross multiply
    408,045,980x = 885,370,274 × 885,370,274
  4. Step 4: Simplify right side
    408,045,980x = 783,880,522,082,835,072
  5. Step 5: Solve for x
    x = 783,880,522,082,835,072/408,045,980
  6. Step 6: Final answer
    x = 1,921,059,293.57

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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.