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Finding the Third Proportional to 657,369.50 and 1,381,141

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Solution

The third proportional to 657,369.50 and 1,381,141 is: 2,901,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,369.50 : 1,381,141 = 1,381,141 : x
  2. Step 2: Convert to fraction form
    657,369.50/1,381,141 = 1,381,141/x
  3. Step 3: Cross multiply
    657,369.50x = 1,381,141 × 1,381,141
  4. Step 4: Simplify right side
    657,369.50x = 1,907,550,461,881
  5. Step 5: Solve for x
    x = 1,907,550,461,881/657,369.50
  6. Step 6: Final answer
    x = 2,901,793.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.