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Finding the Third Proportional to 525,147 and 1,266,090

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Solution

The third proportional to 525,147 and 1,266,090 is: 3,052,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,147 : 1,266,090 = 1,266,090 : x
  2. Step 2: Convert to fraction form
    525,147/1,266,090 = 1,266,090/x
  3. Step 3: Cross multiply
    525,147x = 1,266,090 × 1,266,090
  4. Step 4: Simplify right side
    525,147x = 1,602,983,888,100
  5. Step 5: Solve for x
    x = 1,602,983,888,100/525,147
  6. Step 6: Final answer
    x = 3,052,447.96

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.