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Finding the Third Proportional to 1,746,821 and 2,777,696

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Solution

The third proportional to 1,746,821 and 2,777,696 is: 4,416,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,821 : 2,777,696 = 2,777,696 : x
  2. Step 2: Convert to fraction form
    1,746,821/2,777,696 = 2,777,696/x
  3. Step 3: Cross multiply
    1,746,821x = 2,777,696 × 2,777,696
  4. Step 4: Simplify right side
    1,746,821x = 7,715,595,068,416
  5. Step 5: Solve for x
    x = 7,715,595,068,416/1,746,821
  6. Step 6: Final answer
    x = 4,416,935.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.