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Finding the Third Proportional to 1,284,164 and 1,907,760

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Solution

The third proportional to 1,284,164 and 1,907,760 is: 2,834,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,164 : 1,907,760 = 1,907,760 : x
  2. Step 2: Convert to fraction form
    1,284,164/1,907,760 = 1,907,760/x
  3. Step 3: Cross multiply
    1,284,164x = 1,907,760 × 1,907,760
  4. Step 4: Simplify right side
    1,284,164x = 3,639,548,217,600
  5. Step 5: Solve for x
    x = 3,639,548,217,600/1,284,164
  6. Step 6: Final answer
    x = 2,834,177.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.