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Finding the Third Proportional to 749,740 and 1,199,118

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Solution

The third proportional to 749,740 and 1,199,118 is: 1,917,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,740 : 1,199,118 = 1,199,118 : x
  2. Step 2: Convert to fraction form
    749,740/1,199,118 = 1,199,118/x
  3. Step 3: Cross multiply
    749,740x = 1,199,118 × 1,199,118
  4. Step 4: Simplify right side
    749,740x = 1,437,883,977,924
  5. Step 5: Solve for x
    x = 1,437,883,977,924/749,740
  6. Step 6: Final answer
    x = 1,917,843.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.