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Finding the Third Proportional to 1,538,672 and 3,348,256

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Solution

The third proportional to 1,538,672 and 3,348,256 is: 7,286,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,672 : 3,348,256 = 3,348,256 : x
  2. Step 2: Convert to fraction form
    1,538,672/3,348,256 = 3,348,256/x
  3. Step 3: Cross multiply
    1,538,672x = 3,348,256 × 3,348,256
  4. Step 4: Simplify right side
    1,538,672x = 11,210,818,241,536
  5. Step 5: Solve for x
    x = 11,210,818,241,536/1,538,672
  6. Step 6: Final answer
    x = 7,286,035.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.