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Finding the Third Proportional to 760,269 and 1,646,016

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Solution

The third proportional to 760,269 and 1,646,016 is: 3,563,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,269 : 1,646,016 = 1,646,016 : x
  2. Step 2: Convert to fraction form
    760,269/1,646,016 = 1,646,016/x
  3. Step 3: Cross multiply
    760,269x = 1,646,016 × 1,646,016
  4. Step 4: Simplify right side
    760,269x = 2,709,368,672,256
  5. Step 5: Solve for x
    x = 2,709,368,672,256/760,269
  6. Step 6: Final answer
    x = 3,563,697.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.