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Finding the Third Proportional to 1,807,924.50 and 2,735,213.63

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Solution

The third proportional to 1,807,924.50 and 2,735,213.63 is: 4,138,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,924.50 : 2,735,213.63 = 2,735,213.63 : x
  2. Step 2: Convert to fraction form
    1,807,924.50/2,735,213.63 = 2,735,213.63/x
  3. Step 3: Cross multiply
    1,807,924.50x = 2,735,213.63 × 2,735,213.63
  4. Step 4: Simplify right side
    1,807,924.50x = 7,481,393,574,385.64
  5. Step 5: Solve for x
    x = 7,481,393,574,385.64/1,807,924.50
  6. Step 6: Final answer
    x = 4,138,111.73

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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.