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Finding the Third Proportional to 1,782,050 and 2,574,755

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Solution

The third proportional to 1,782,050 and 2,574,755 is: 3,720,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,050 : 2,574,755 = 2,574,755 : x
  2. Step 2: Convert to fraction form
    1,782,050/2,574,755 = 2,574,755/x
  3. Step 3: Cross multiply
    1,782,050x = 2,574,755 × 2,574,755
  4. Step 4: Simplify right side
    1,782,050x = 6,629,363,310,025
  5. Step 5: Solve for x
    x = 6,629,363,310,025/1,782,050
  6. Step 6: Final answer
    x = 3,720,077.05

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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.