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Finding the Third Proportional to 589,075.50 and 1,272,138

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Solution

The third proportional to 589,075.50 and 1,272,138 is: 2,747,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,075.50 : 1,272,138 = 1,272,138 : x
  2. Step 2: Convert to fraction form
    589,075.50/1,272,138 = 1,272,138/x
  3. Step 3: Cross multiply
    589,075.50x = 1,272,138 × 1,272,138
  4. Step 4: Simplify right side
    589,075.50x = 1,618,335,091,044
  5. Step 5: Solve for x
    x = 1,618,335,091,044/589,075.50
  6. Step 6: Final answer
    x = 2,747,245.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.