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Finding the Third Proportional to 786,604 and 1,194,405

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Solution

The third proportional to 786,604 and 1,194,405 is: 1,813,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,604 : 1,194,405 = 1,194,405 : x
  2. Step 2: Convert to fraction form
    786,604/1,194,405 = 1,194,405/x
  3. Step 3: Cross multiply
    786,604x = 1,194,405 × 1,194,405
  4. Step 4: Simplify right side
    786,604x = 1,426,603,304,025
  5. Step 5: Solve for x
    x = 1,426,603,304,025/786,604
  6. Step 6: Final answer
    x = 1,813,623.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.