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Finding the Third Proportional to 473,014 and 1,016,012

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Solution

The third proportional to 473,014 and 1,016,012 is: 2,182,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,014 : 1,016,012 = 1,016,012 : x
  2. Step 2: Convert to fraction form
    473,014/1,016,012 = 1,016,012/x
  3. Step 3: Cross multiply
    473,014x = 1,016,012 × 1,016,012
  4. Step 4: Simplify right side
    473,014x = 1,032,280,384,144
  5. Step 5: Solve for x
    x = 1,032,280,384,144/473,014
  6. Step 6: Final answer
    x = 2,182,346.37

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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.