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Finding the Third Proportional to 750,678 and 1,164,105

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Solution

The third proportional to 750,678 and 1,164,105 is: 1,805,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,678 : 1,164,105 = 1,164,105 : x
  2. Step 2: Convert to fraction form
    750,678/1,164,105 = 1,164,105/x
  3. Step 3: Cross multiply
    750,678x = 1,164,105 × 1,164,105
  4. Step 4: Simplify right side
    750,678x = 1,355,140,451,025
  5. Step 5: Solve for x
    x = 1,355,140,451,025/750,678
  6. Step 6: Final answer
    x = 1,805,222.01

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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.