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Finding the Third Proportional to 2,085,312 and 4,569,204

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Solution

The third proportional to 2,085,312 and 4,569,204 is: 10,011,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,312 : 4,569,204 = 4,569,204 : x
  2. Step 2: Convert to fraction form
    2,085,312/4,569,204 = 4,569,204/x
  3. Step 3: Cross multiply
    2,085,312x = 4,569,204 × 4,569,204
  4. Step 4: Simplify right side
    2,085,312x = 20,877,625,193,616
  5. Step 5: Solve for x
    x = 20,877,625,193,616/2,085,312
  6. Step 6: Final answer
    x = 10,011,751.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.