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Finding the Third Proportional to 1,243,922 and 1,905,195

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Solution

The third proportional to 1,243,922 and 1,905,195 is: 2,918,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,922 : 1,905,195 = 1,905,195 : x
  2. Step 2: Convert to fraction form
    1,243,922/1,905,195 = 1,905,195/x
  3. Step 3: Cross multiply
    1,243,922x = 1,905,195 × 1,905,195
  4. Step 4: Simplify right side
    1,243,922x = 3,629,767,988,025
  5. Step 5: Solve for x
    x = 3,629,767,988,025/1,243,922
  6. Step 6: Final answer
    x = 2,918,002.89

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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.