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Finding the Third Proportional to 1,185,129 and 1,689,723

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Solution

The third proportional to 1,185,129 and 1,689,723 is: 2,409,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,129 : 1,689,723 = 1,689,723 : x
  2. Step 2: Convert to fraction form
    1,185,129/1,689,723 = 1,689,723/x
  3. Step 3: Cross multiply
    1,185,129x = 1,689,723 × 1,689,723
  4. Step 4: Simplify right side
    1,185,129x = 2,855,163,816,729
  5. Step 5: Solve for x
    x = 2,855,163,816,729/1,185,129
  6. Step 6: Final answer
    x = 2,409,158.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.