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Finding the Third Proportional to 896,666,949 and 1,969,859,790

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Solution

The third proportional to 896,666,949 and 1,969,859,790 is: 4,327,523,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,666,949 : 1,969,859,790 = 1,969,859,790 : x
  2. Step 2: Convert to fraction form
    896,666,949/1,969,859,790 = 1,969,859,790/x
  3. Step 3: Cross multiply
    896,666,949x = 1,969,859,790 × 1,969,859,790
  4. Step 4: Simplify right side
    896,666,949x = 3,880,347,592,258,844,160
  5. Step 5: Solve for x
    x = 3,880,347,592,258,844,160/896,666,949
  6. Step 6: Final answer
    x = 4,327,523,833.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.