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Finding the Third Proportional to 732,004 and 1,093,696

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Solution

The third proportional to 732,004 and 1,093,696 is: 1,634,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,004 : 1,093,696 = 1,093,696 : x
  2. Step 2: Convert to fraction form
    732,004/1,093,696 = 1,093,696/x
  3. Step 3: Cross multiply
    732,004x = 1,093,696 × 1,093,696
  4. Step 4: Simplify right side
    732,004x = 1,196,170,940,416
  5. Step 5: Solve for x
    x = 1,196,170,940,416/732,004
  6. Step 6: Final answer
    x = 1,634,104.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.