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Finding the Third Proportional to 3,137,114 and 4,693,179

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Solution

The third proportional to 3,137,114 and 4,693,179 is: 7,021,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137,114 : 4,693,179 = 4,693,179 : x
  2. Step 2: Convert to fraction form
    3,137,114/4,693,179 = 4,693,179/x
  3. Step 3: Cross multiply
    3,137,114x = 4,693,179 × 4,693,179
  4. Step 4: Simplify right side
    3,137,114x = 22,025,929,126,041
  5. Step 5: Solve for x
    x = 22,025,929,126,041/3,137,114
  6. Step 6: Final answer
    x = 7,021,080.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.