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Finding the Third Proportional to 524,611.69 and 1,036,941.75

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Solution

The third proportional to 524,611.69 and 1,036,941.75 is: 2,049,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,611.69 : 1,036,941.75 = 1,036,941.75 : x
  2. Step 2: Convert to fraction form
    524,611.69/1,036,941.75 = 1,036,941.75/x
  3. Step 3: Cross multiply
    524,611.69x = 1,036,941.75 × 1,036,941.75
  4. Step 4: Simplify right side
    524,611.69x = 1,075,248,192,893.06
  5. Step 5: Solve for x
    x = 1,075,248,192,893.06/524,611.69
  6. Step 6: Final answer
    x = 2,049,607.77

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.