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Finding the Third Proportional to 551,109 and 780,034

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Solution

The third proportional to 551,109 and 780,034 is: 1,104,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,109 : 780,034 = 780,034 : x
  2. Step 2: Convert to fraction form
    551,109/780,034 = 780,034/x
  3. Step 3: Cross multiply
    551,109x = 780,034 × 780,034
  4. Step 4: Simplify right side
    551,109x = 608,453,041,156
  5. Step 5: Solve for x
    x = 608,453,041,156/551,109
  6. Step 6: Final answer
    x = 1,104,052.09

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.