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Finding the Third Proportional to 514,129.50 and 1,114,065

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Solution

The third proportional to 514,129.50 and 1,114,065 is: 2,414,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,129.50 : 1,114,065 = 1,114,065 : x
  2. Step 2: Convert to fraction form
    514,129.50/1,114,065 = 1,114,065/x
  3. Step 3: Cross multiply
    514,129.50x = 1,114,065 × 1,114,065
  4. Step 4: Simplify right side
    514,129.50x = 1,241,140,824,225
  5. Step 5: Solve for x
    x = 1,241,140,824,225/514,129.50
  6. Step 6: Final answer
    x = 2,414,062.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.