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Finding the Third Proportional to 971,217 and 1,980,954

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Solution

The third proportional to 971,217 and 1,980,954 is: 4,040,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,217 : 1,980,954 = 1,980,954 : x
  2. Step 2: Convert to fraction form
    971,217/1,980,954 = 1,980,954/x
  3. Step 3: Cross multiply
    971,217x = 1,980,954 × 1,980,954
  4. Step 4: Simplify right side
    971,217x = 3,924,178,750,116
  5. Step 5: Solve for x
    x = 3,924,178,750,116/971,217
  6. Step 6: Final answer
    x = 4,040,475.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.