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Finding the Third Proportional to 999,500 and 2,185,400

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Solution

The third proportional to 999,500 and 2,185,400 is: 4,778,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,500 : 2,185,400 = 2,185,400 : x
  2. Step 2: Convert to fraction form
    999,500/2,185,400 = 2,185,400/x
  3. Step 3: Cross multiply
    999,500x = 2,185,400 × 2,185,400
  4. Step 4: Simplify right side
    999,500x = 4,775,973,160,000
  5. Step 5: Solve for x
    x = 4,775,973,160,000/999,500
  6. Step 6: Final answer
    x = 4,778,362.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.