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Finding the Third Proportional to 458,949 and 999,556.50

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Solution

The third proportional to 458,949 and 999,556.50 is: 2,176,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,949 : 999,556.50 = 999,556.50 : x
  2. Step 2: Convert to fraction form
    458,949/999,556.50 = 999,556.50/x
  3. Step 3: Cross multiply
    458,949x = 999,556.50 × 999,556.50
  4. Step 4: Simplify right side
    458,949x = 999,113,196,692.25
  5. Step 5: Solve for x
    x = 999,113,196,692.25/458,949
  6. Step 6: Final answer
    x = 2,176,959.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.