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Finding the Third Proportional to 465,185 and 1,001,648

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Solution

The third proportional to 465,185 and 1,001,648 is: 2,156,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,185 : 1,001,648 = 1,001,648 : x
  2. Step 2: Convert to fraction form
    465,185/1,001,648 = 1,001,648/x
  3. Step 3: Cross multiply
    465,185x = 1,001,648 × 1,001,648
  4. Step 4: Simplify right side
    465,185x = 1,003,298,715,904
  5. Step 5: Solve for x
    x = 1,003,298,715,904/465,185
  6. Step 6: Final answer
    x = 2,156,773.58

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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.