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Finding the Third Proportional to 1,780,146 and 2,758,178

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Solution

The third proportional to 1,780,146 and 2,758,178 is: 4,273,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,146 : 2,758,178 = 2,758,178 : x
  2. Step 2: Convert to fraction form
    1,780,146/2,758,178 = 2,758,178/x
  3. Step 3: Cross multiply
    1,780,146x = 2,758,178 × 2,758,178
  4. Step 4: Simplify right side
    1,780,146x = 7,607,545,879,684
  5. Step 5: Solve for x
    x = 7,607,545,879,684/1,780,146
  6. Step 6: Final answer
    x = 4,273,551.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.