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Finding the Third Proportional to 1,461,645 and 3,115,179

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Solution

The third proportional to 1,461,645 and 3,115,179 is: 6,639,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,645 : 3,115,179 = 3,115,179 : x
  2. Step 2: Convert to fraction form
    1,461,645/3,115,179 = 3,115,179/x
  3. Step 3: Cross multiply
    1,461,645x = 3,115,179 × 3,115,179
  4. Step 4: Simplify right side
    1,461,645x = 9,704,340,202,041
  5. Step 5: Solve for x
    x = 9,704,340,202,041/1,461,645
  6. Step 6: Final answer
    x = 6,639,327.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.