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Finding the Third Proportional to 1,782,065 and 2,574,777.50

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Solution

The third proportional to 1,782,065 and 2,574,777.50 is: 3,720,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,065 : 2,574,777.50 = 2,574,777.50 : x
  2. Step 2: Convert to fraction form
    1,782,065/2,574,777.50 = 2,574,777.50/x
  3. Step 3: Cross multiply
    1,782,065x = 2,574,777.50 × 2,574,777.50
  4. Step 4: Simplify right side
    1,782,065x = 6,629,479,174,506.25
  5. Step 5: Solve for x
    x = 6,629,479,174,506.25/1,782,065
  6. Step 6: Final answer
    x = 3,720,110.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.