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Finding the Third Proportional to 759,147 and 1,146,562

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Solution

The third proportional to 759,147 and 1,146,562 is: 1,731,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,147 : 1,146,562 = 1,146,562 : x
  2. Step 2: Convert to fraction form
    759,147/1,146,562 = 1,146,562/x
  3. Step 3: Cross multiply
    759,147x = 1,146,562 × 1,146,562
  4. Step 4: Simplify right side
    759,147x = 1,314,604,419,844
  5. Step 5: Solve for x
    x = 1,314,604,419,844/759,147
  6. Step 6: Final answer
    x = 1,731,686.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.