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Finding the Third Proportional to 2,090,478 and 4,579,540

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Solution

The third proportional to 2,090,478 and 4,579,540 is: 10,032,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,478 : 4,579,540 = 4,579,540 : x
  2. Step 2: Convert to fraction form
    2,090,478/4,579,540 = 4,579,540/x
  3. Step 3: Cross multiply
    2,090,478x = 4,579,540 × 4,579,540
  4. Step 4: Simplify right side
    2,090,478x = 20,972,186,611,600
  5. Step 5: Solve for x
    x = 20,972,186,611,600/2,090,478
  6. Step 6: Final answer
    x = 10,032,244.59

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Why These Related Problems?

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