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Finding the Third Proportional to 738,288 and 1,086,696

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Solution

The third proportional to 738,288 and 1,086,696 is: 1,599,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,288 : 1,086,696 = 1,086,696 : x
  2. Step 2: Convert to fraction form
    738,288/1,086,696 = 1,086,696/x
  3. Step 3: Cross multiply
    738,288x = 1,086,696 × 1,086,696
  4. Step 4: Simplify right side
    738,288x = 1,180,908,196,416
  5. Step 5: Solve for x
    x = 1,180,908,196,416/738,288
  6. Step 6: Final answer
    x = 1,599,522.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.