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Finding the Third Proportional to 1,919,218 and 4,133,682

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Solution

The third proportional to 1,919,218 and 4,133,682 is: 8,903,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,218 : 4,133,682 = 4,133,682 : x
  2. Step 2: Convert to fraction form
    1,919,218/4,133,682 = 4,133,682/x
  3. Step 3: Cross multiply
    1,919,218x = 4,133,682 × 4,133,682
  4. Step 4: Simplify right side
    1,919,218x = 17,087,326,877,124
  5. Step 5: Solve for x
    x = 17,087,326,877,124/1,919,218
  6. Step 6: Final answer
    x = 8,903,275.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.