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Finding the Third Proportional to 1,919,150 and 4,104,021

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Solution

The third proportional to 1,919,150 and 4,104,021 is: 8,776,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,150 : 4,104,021 = 4,104,021 : x
  2. Step 2: Convert to fraction form
    1,919,150/4,104,021 = 4,104,021/x
  3. Step 3: Cross multiply
    1,919,150x = 4,104,021 × 4,104,021
  4. Step 4: Simplify right side
    1,919,150x = 16,842,988,368,441
  5. Step 5: Solve for x
    x = 16,842,988,368,441/1,919,150
  6. Step 6: Final answer
    x = 8,776,275.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.