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Finding the Third Proportional to 776,336 and 1,697,494

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Solution

The third proportional to 776,336 and 1,697,494 is: 3,711,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,336 : 1,697,494 = 1,697,494 : x
  2. Step 2: Convert to fraction form
    776,336/1,697,494 = 1,697,494/x
  3. Step 3: Cross multiply
    776,336x = 1,697,494 × 1,697,494
  4. Step 4: Simplify right side
    776,336x = 2,881,485,880,036
  5. Step 5: Solve for x
    x = 2,881,485,880,036/776,336
  6. Step 6: Final answer
    x = 3,711,647.89

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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.