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Finding the Third Proportional to 1,461,347 and 3,202,054

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Solution

The third proportional to 1,461,347 and 3,202,054 is: 7,016,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,347 : 3,202,054 = 3,202,054 : x
  2. Step 2: Convert to fraction form
    1,461,347/3,202,054 = 3,202,054/x
  3. Step 3: Cross multiply
    1,461,347x = 3,202,054 × 3,202,054
  4. Step 4: Simplify right side
    1,461,347x = 10,253,149,818,916
  5. Step 5: Solve for x
    x = 10,253,149,818,916/1,461,347
  6. Step 6: Final answer
    x = 7,016,232.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.