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Finding the Third Proportional to 2,085,308 and 4,569,196

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Solution

The third proportional to 2,085,308 and 4,569,196 is: 10,011,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,308 : 4,569,196 = 4,569,196 : x
  2. Step 2: Convert to fraction form
    2,085,308/4,569,196 = 4,569,196/x
  3. Step 3: Cross multiply
    2,085,308x = 4,569,196 × 4,569,196
  4. Step 4: Simplify right side
    2,085,308x = 20,877,552,086,416
  5. Step 5: Solve for x
    x = 20,877,552,086,416/2,085,308
  6. Step 6: Final answer
    x = 10,011,735.48

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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.