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Finding the Third Proportional to 902,979,301 and 1,381,457,228

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Solution

The third proportional to 902,979,301 and 1,381,457,228 is: 2,113,474,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,979,301 : 1,381,457,228 = 1,381,457,228 : x
  2. Step 2: Convert to fraction form
    902,979,301/1,381,457,228 = 1,381,457,228/x
  3. Step 3: Cross multiply
    902,979,301x = 1,381,457,228 × 1,381,457,228
  4. Step 4: Simplify right side
    902,979,301x = 1,908,424,072,793,444,096
  5. Step 5: Solve for x
    x = 1,908,424,072,793,444,096/902,979,301
  6. Step 6: Final answer
    x = 2,113,474,883.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.