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Finding the Third Proportional to 662,746 and 1,431,404

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Solution

The third proportional to 662,746 and 1,431,404 is: 3,091,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,746 : 1,431,404 = 1,431,404 : x
  2. Step 2: Convert to fraction form
    662,746/1,431,404 = 1,431,404/x
  3. Step 3: Cross multiply
    662,746x = 1,431,404 × 1,431,404
  4. Step 4: Simplify right side
    662,746x = 2,048,917,411,216
  5. Step 5: Solve for x
    x = 2,048,917,411,216/662,746
  6. Step 6: Final answer
    x = 3,091,557.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.