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Finding the Third Proportional to 998,223 and 1,551,478.50

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Solution

The third proportional to 998,223 and 1,551,478.50 is: 2,411,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,223 : 1,551,478.50 = 1,551,478.50 : x
  2. Step 2: Convert to fraction form
    998,223/1,551,478.50 = 1,551,478.50/x
  3. Step 3: Cross multiply
    998,223x = 1,551,478.50 × 1,551,478.50
  4. Step 4: Simplify right side
    998,223x = 2,407,085,535,962.25
  5. Step 5: Solve for x
    x = 2,407,085,535,962.25/998,223
  6. Step 6: Final answer
    x = 2,411,370.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.