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Finding the Third Proportional to 1,834,675 and 2,698,090.50

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Solution

The third proportional to 1,834,675 and 2,698,090.50 is: 3,967,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,675 : 2,698,090.50 = 2,698,090.50 : x
  2. Step 2: Convert to fraction form
    1,834,675/2,698,090.50 = 2,698,090.50/x
  3. Step 3: Cross multiply
    1,834,675x = 2,698,090.50 × 2,698,090.50
  4. Step 4: Simplify right side
    1,834,675x = 7,279,692,346,190.25
  5. Step 5: Solve for x
    x = 7,279,692,346,190.25/1,834,675
  6. Step 6: Final answer
    x = 3,967,837.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.