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Finding the Third Proportional to 689,740 and 1,064,132

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Solution

The third proportional to 689,740 and 1,064,132 is: 1,641,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,740 : 1,064,132 = 1,064,132 : x
  2. Step 2: Convert to fraction form
    689,740/1,064,132 = 1,064,132/x
  3. Step 3: Cross multiply
    689,740x = 1,064,132 × 1,064,132
  4. Step 4: Simplify right side
    689,740x = 1,132,376,913,424
  5. Step 5: Solve for x
    x = 1,132,376,913,424/689,740
  6. Step 6: Final answer
    x = 1,641,744.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.