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Finding the Third Proportional to 672,732 and 1,042,722

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Solution

The third proportional to 672,732 and 1,042,722 is: 1,616,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,732 : 1,042,722 = 1,042,722 : x
  2. Step 2: Convert to fraction form
    672,732/1,042,722 = 1,042,722/x
  3. Step 3: Cross multiply
    672,732x = 1,042,722 × 1,042,722
  4. Step 4: Simplify right side
    672,732x = 1,087,269,169,284
  5. Step 5: Solve for x
    x = 1,087,269,169,284/672,732
  6. Step 6: Final answer
    x = 1,616,199.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.