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Finding the Third Proportional to 473,012 and 1,016,008

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Solution

The third proportional to 473,012 and 1,016,008 is: 2,182,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,012 : 1,016,008 = 1,016,008 : x
  2. Step 2: Convert to fraction form
    473,012/1,016,008 = 1,016,008/x
  3. Step 3: Cross multiply
    473,012x = 1,016,008 × 1,016,008
  4. Step 4: Simplify right side
    473,012x = 1,032,272,256,064
  5. Step 5: Solve for x
    x = 1,032,272,256,064/473,012
  6. Step 6: Final answer
    x = 2,182,338.41

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