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Finding the Third Proportional to 2,090,180.85 and 4,591,398.10

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Solution

The third proportional to 2,090,180.85 and 4,591,398.10 is: 10,085,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,180.85 : 4,591,398.10 = 4,591,398.10 : x
  2. Step 2: Convert to fraction form
    2,090,180.85/4,591,398.10 = 4,591,398.10/x
  3. Step 3: Cross multiply
    2,090,180.85x = 4,591,398.10 × 4,591,398.10
  4. Step 4: Simplify right side
    2,090,180.85x = 21,080,936,495,645.85
  5. Step 5: Solve for x
    x = 21,080,936,495,645.85/2,090,180.85
  6. Step 6: Final answer
    x = 10,085,699.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.