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Finding the Third Proportional to 595,653 and 1,284,612

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Solution

The third proportional to 595,653 and 1,284,612 is: 2,770,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,653 : 1,284,612 = 1,284,612 : x
  2. Step 2: Convert to fraction form
    595,653/1,284,612 = 1,284,612/x
  3. Step 3: Cross multiply
    595,653x = 1,284,612 × 1,284,612
  4. Step 4: Simplify right side
    595,653x = 1,650,227,990,544
  5. Step 5: Solve for x
    x = 1,650,227,990,544/595,653
  6. Step 6: Final answer
    x = 2,770,451.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.