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Finding the Third Proportional to 776,096 and 1,696,696

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Solution

The third proportional to 776,096 and 1,696,696 is: 3,709,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,096 : 1,696,696 = 1,696,696 : x
  2. Step 2: Convert to fraction form
    776,096/1,696,696 = 1,696,696/x
  3. Step 3: Cross multiply
    776,096x = 1,696,696 × 1,696,696
  4. Step 4: Simplify right side
    776,096x = 2,878,777,316,416
  5. Step 5: Solve for x
    x = 2,878,777,316,416/776,096
  6. Step 6: Final answer
    x = 3,709,305.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.