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Finding the Third Proportional to 2,237,678 and 3,441,465

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Solution

The third proportional to 2,237,678 and 3,441,465 is: 5,292,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237,678 : 3,441,465 = 3,441,465 : x
  2. Step 2: Convert to fraction form
    2,237,678/3,441,465 = 3,441,465/x
  3. Step 3: Cross multiply
    2,237,678x = 3,441,465 × 3,441,465
  4. Step 4: Simplify right side
    2,237,678x = 11,843,681,346,225
  5. Step 5: Solve for x
    x = 11,843,681,346,225/2,237,678
  6. Step 6: Final answer
    x = 5,292,844.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.