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Finding the Third Proportional to 778,223 and 1,704,068

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Solution

The third proportional to 778,223 and 1,704,068 is: 3,731,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,223 : 1,704,068 = 1,704,068 : x
  2. Step 2: Convert to fraction form
    778,223/1,704,068 = 1,704,068/x
  3. Step 3: Cross multiply
    778,223x = 1,704,068 × 1,704,068
  4. Step 4: Simplify right side
    778,223x = 2,903,847,748,624
  5. Step 5: Solve for x
    x = 2,903,847,748,624/778,223
  6. Step 6: Final answer
    x = 3,731,382.58

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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.