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Finding the Third Proportional to 684,004.50 and 1,049,877

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Solution

The third proportional to 684,004.50 and 1,049,877 is: 1,611,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,004.50 : 1,049,877 = 1,049,877 : x
  2. Step 2: Convert to fraction form
    684,004.50/1,049,877 = 1,049,877/x
  3. Step 3: Cross multiply
    684,004.50x = 1,049,877 × 1,049,877
  4. Step 4: Simplify right side
    684,004.50x = 1,102,241,715,129
  5. Step 5: Solve for x
    x = 1,102,241,715,129/684,004.50
  6. Step 6: Final answer
    x = 1,611,453.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.