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Finding the Third Proportional to 692,434 and 1,095,504

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Solution

The third proportional to 692,434 and 1,095,504 is: 1,733,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,434 : 1,095,504 = 1,095,504 : x
  2. Step 2: Convert to fraction form
    692,434/1,095,504 = 1,095,504/x
  3. Step 3: Cross multiply
    692,434x = 1,095,504 × 1,095,504
  4. Step 4: Simplify right side
    692,434x = 1,200,129,014,016
  5. Step 5: Solve for x
    x = 1,200,129,014,016/692,434
  6. Step 6: Final answer
    x = 1,733,203.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.