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Finding the Third Proportional to 514,644.75 and 1,128,980.25

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Solution

The third proportional to 514,644.75 and 1,128,980.25 is: 2,476,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,644.75 : 1,128,980.25 = 1,128,980.25 : x
  2. Step 2: Convert to fraction form
    514,644.75/1,128,980.25 = 1,128,980.25/x
  3. Step 3: Cross multiply
    514,644.75x = 1,128,980.25 × 1,128,980.25
  4. Step 4: Simplify right side
    514,644.75x = 1,274,596,404,890.06
  5. Step 5: Solve for x
    x = 1,274,596,404,890.06/514,644.75
  6. Step 6: Final answer
    x = 2,476,652.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.