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Finding the Third Proportional to 1,003,174 and 2,169,967

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Solution

The third proportional to 1,003,174 and 2,169,967 is: 4,693,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,174 : 2,169,967 = 2,169,967 : x
  2. Step 2: Convert to fraction form
    1,003,174/2,169,967 = 2,169,967/x
  3. Step 3: Cross multiply
    1,003,174x = 2,169,967 × 2,169,967
  4. Step 4: Simplify right side
    1,003,174x = 4,708,756,781,089
  5. Step 5: Solve for x
    x = 4,708,756,781,089/1,003,174
  6. Step 6: Final answer
    x = 4,693,858.47

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