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Finding the Third Proportional to 2,020,932 and 3,052,378.50

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Solution

The third proportional to 2,020,932 and 3,052,378.50 is: 4,610,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,932 : 3,052,378.50 = 3,052,378.50 : x
  2. Step 2: Convert to fraction form
    2,020,932/3,052,378.50 = 3,052,378.50/x
  3. Step 3: Cross multiply
    2,020,932x = 3,052,378.50 × 3,052,378.50
  4. Step 4: Simplify right side
    2,020,932x = 9,317,014,507,262.25
  5. Step 5: Solve for x
    x = 9,317,014,507,262.25/2,020,932
  6. Step 6: Final answer
    x = 4,610,256.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.