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Finding the Third Proportional to 465,914.53 and 1,016,172.84

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Solution

The third proportional to 465,914.53 and 1,016,172.84 is: 2,216,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,914.53 : 1,016,172.84 = 1,016,172.84 : x
  2. Step 2: Convert to fraction form
    465,914.53/1,016,172.84 = 1,016,172.84/x
  3. Step 3: Cross multiply
    465,914.53x = 1,016,172.84 × 1,016,172.84
  4. Step 4: Simplify right side
    465,914.53x = 1,032,607,248,374.96
  5. Step 5: Solve for x
    x = 1,032,607,248,374.96/465,914.53
  6. Step 6: Final answer
    x = 2,216,301.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.