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Finding the Third Proportional to 1,538,674 and 3,348,260

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Solution

The third proportional to 1,538,674 and 3,348,260 is: 7,286,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,674 : 3,348,260 = 3,348,260 : x
  2. Step 2: Convert to fraction form
    1,538,674/3,348,260 = 3,348,260/x
  3. Step 3: Cross multiply
    1,538,674x = 3,348,260 × 3,348,260
  4. Step 4: Simplify right side
    1,538,674x = 11,210,845,027,600
  5. Step 5: Solve for x
    x = 11,210,845,027,600/1,538,674
  6. Step 6: Final answer
    x = 7,286,043.07

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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.