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Finding the Third Proportional to 828,942 and 1,318,141.50

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Solution

The third proportional to 828,942 and 1,318,141.50 is: 2,096,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,942 : 1,318,141.50 = 1,318,141.50 : x
  2. Step 2: Convert to fraction form
    828,942/1,318,141.50 = 1,318,141.50/x
  3. Step 3: Cross multiply
    828,942x = 1,318,141.50 × 1,318,141.50
  4. Step 4: Simplify right side
    828,942x = 1,737,497,014,022.25
  5. Step 5: Solve for x
    x = 1,737,497,014,022.25/828,942
  6. Step 6: Final answer
    x = 2,096,041.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.