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Finding the Third Proportional to 516,113 and 1,068,516.50

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Solution

The third proportional to 516,113 and 1,068,516.50 is: 2,212,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,113 : 1,068,516.50 = 1,068,516.50 : x
  2. Step 2: Convert to fraction form
    516,113/1,068,516.50 = 1,068,516.50/x
  3. Step 3: Cross multiply
    516,113x = 1,068,516.50 × 1,068,516.50
  4. Step 4: Simplify right side
    516,113x = 1,141,727,510,772.25
  5. Step 5: Solve for x
    x = 1,141,727,510,772.25/516,113
  6. Step 6: Final answer
    x = 2,212,165.77

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.