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Finding the Third Proportional to 565,605 and 1,189,378

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Solution

The third proportional to 565,605 and 1,189,378 is: 2,501,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,605 : 1,189,378 = 1,189,378 : x
  2. Step 2: Convert to fraction form
    565,605/1,189,378 = 1,189,378/x
  3. Step 3: Cross multiply
    565,605x = 1,189,378 × 1,189,378
  4. Step 4: Simplify right side
    565,605x = 1,414,620,026,884
  5. Step 5: Solve for x
    x = 1,414,620,026,884/565,605
  6. Step 6: Final answer
    x = 2,501,074.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.