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Finding the Third Proportional to 778,872 and 1,674,078

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Solution

The third proportional to 778,872 and 1,674,078 is: 3,598,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,872 : 1,674,078 = 1,674,078 : x
  2. Step 2: Convert to fraction form
    778,872/1,674,078 = 1,674,078/x
  3. Step 3: Cross multiply
    778,872x = 1,674,078 × 1,674,078
  4. Step 4: Simplify right side
    778,872x = 2,802,537,150,084
  5. Step 5: Solve for x
    x = 2,802,537,150,084/778,872
  6. Step 6: Final answer
    x = 3,598,199.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.