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Finding the Third Proportional to 2,090,421 and 4,579,200

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Solution

The third proportional to 2,090,421 and 4,579,200 is: 10,031,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,421 : 4,579,200 = 4,579,200 : x
  2. Step 2: Convert to fraction form
    2,090,421/4,579,200 = 4,579,200/x
  3. Step 3: Cross multiply
    2,090,421x = 4,579,200 × 4,579,200
  4. Step 4: Simplify right side
    2,090,421x = 20,969,072,640,000
  5. Step 5: Solve for x
    x = 20,969,072,640,000/2,090,421
  6. Step 6: Final answer
    x = 10,031,028.51

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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.