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Finding the Third Proportional to 1,464,973 and 2,268,082

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Solution

The third proportional to 1,464,973 and 2,268,082 is: 3,511,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,973 : 2,268,082 = 2,268,082 : x
  2. Step 2: Convert to fraction form
    1,464,973/2,268,082 = 2,268,082/x
  3. Step 3: Cross multiply
    1,464,973x = 2,268,082 × 2,268,082
  4. Step 4: Simplify right side
    1,464,973x = 5,144,195,958,724
  5. Step 5: Solve for x
    x = 5,144,195,958,724/1,464,973
  6. Step 6: Final answer
    x = 3,511,461.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.