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Finding the Third Proportional to 942,883 and 2,099,180.50

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Solution

The third proportional to 942,883 and 2,099,180.50 is: 4,673,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,883 : 2,099,180.50 = 2,099,180.50 : x
  2. Step 2: Convert to fraction form
    942,883/2,099,180.50 = 2,099,180.50/x
  3. Step 3: Cross multiply
    942,883x = 2,099,180.50 × 2,099,180.50
  4. Step 4: Simplify right side
    942,883x = 4,406,558,771,580.25
  5. Step 5: Solve for x
    x = 4,406,558,771,580.25/942,883
  6. Step 6: Final answer
    x = 4,673,494.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.