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Finding the Third Proportional to 614,621.81 and 926,033.06

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Solution

The third proportional to 614,621.81 and 926,033.06 is: 1,395,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,621.81 : 926,033.06 = 926,033.06 : x
  2. Step 2: Convert to fraction form
    614,621.81/926,033.06 = 926,033.06/x
  3. Step 3: Cross multiply
    614,621.81x = 926,033.06 × 926,033.06
  4. Step 4: Simplify right side
    614,621.81x = 857,537,232,843.13
  5. Step 5: Solve for x
    x = 857,537,232,843.13/614,621.81
  6. Step 6: Final answer
    x = 1,395,227.46

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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.