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Finding the Third Proportional to 473,004 and 1,015,992

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Solution

The third proportional to 473,004 and 1,015,992 is: 2,182,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,004 : 1,015,992 = 1,015,992 : x
  2. Step 2: Convert to fraction form
    473,004/1,015,992 = 1,015,992/x
  3. Step 3: Cross multiply
    473,004x = 1,015,992 × 1,015,992
  4. Step 4: Simplify right side
    473,004x = 1,032,239,744,064
  5. Step 5: Solve for x
    x = 1,032,239,744,064/473,004
  6. Step 6: Final answer
    x = 2,182,306.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.