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Finding the Third Proportional to 1,953,826.50 and 2,951,156.25

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Solution

The third proportional to 1,953,826.50 and 2,951,156.25 is: 4,457,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,826.50 : 2,951,156.25 = 2,951,156.25 : x
  2. Step 2: Convert to fraction form
    1,953,826.50/2,951,156.25 = 2,951,156.25/x
  3. Step 3: Cross multiply
    1,953,826.50x = 2,951,156.25 × 2,951,156.25
  4. Step 4: Simplify right side
    1,953,826.50x = 8,709,323,211,914.06
  5. Step 5: Solve for x
    x = 8,709,323,211,914.06/1,953,826.50
  6. Step 6: Final answer
    x = 4,457,572.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.