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Finding the Third Proportional to 565,545 and 1,230,599

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Solution

The third proportional to 565,545 and 1,230,599 is: 2,677,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,545 : 1,230,599 = 1,230,599 : x
  2. Step 2: Convert to fraction form
    565,545/1,230,599 = 1,230,599/x
  3. Step 3: Cross multiply
    565,545x = 1,230,599 × 1,230,599
  4. Step 4: Simplify right side
    565,545x = 1,514,373,898,801
  5. Step 5: Solve for x
    x = 1,514,373,898,801/565,545
  6. Step 6: Final answer
    x = 2,677,724.85

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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.