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Finding the Third Proportional to 1,009,948.50 and 2,209,950

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Solution

The third proportional to 1,009,948.50 and 2,209,950 is: 4,835,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,948.50 : 2,209,950 = 2,209,950 : x
  2. Step 2: Convert to fraction form
    1,009,948.50/2,209,950 = 2,209,950/x
  3. Step 3: Cross multiply
    1,009,948.50x = 2,209,950 × 2,209,950
  4. Step 4: Simplify right side
    1,009,948.50x = 4,883,879,002,500
  5. Step 5: Solve for x
    x = 4,883,879,002,500/1,009,948.50
  6. Step 6: Final answer
    x = 4,835,770.34

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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.