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Finding the Third Proportional to 501,147 and 1,051,501.50

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Solution

The third proportional to 501,147 and 1,051,501.50 is: 2,206,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,147 : 1,051,501.50 = 1,051,501.50 : x
  2. Step 2: Convert to fraction form
    501,147/1,051,501.50 = 1,051,501.50/x
  3. Step 3: Cross multiply
    501,147x = 1,051,501.50 × 1,051,501.50
  4. Step 4: Simplify right side
    501,147x = 1,105,655,404,502.25
  5. Step 5: Solve for x
    x = 1,105,655,404,502.25/501,147
  6. Step 6: Final answer
    x = 2,206,249.67

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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.