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Finding the Third Proportional to 565,563 and 1,230,634

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Solution

The third proportional to 565,563 and 1,230,634 is: 2,677,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,563 : 1,230,634 = 1,230,634 : x
  2. Step 2: Convert to fraction form
    565,563/1,230,634 = 1,230,634/x
  3. Step 3: Cross multiply
    565,563x = 1,230,634 × 1,230,634
  4. Step 4: Simplify right side
    565,563x = 1,514,460,041,956
  5. Step 5: Solve for x
    x = 1,514,460,041,956/565,563
  6. Step 6: Final answer
    x = 2,677,791.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.