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Finding the Third Proportional to 525,099 and 1,151,871

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Solution

The third proportional to 525,099 and 1,151,871 is: 2,526,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,099 : 1,151,871 = 1,151,871 : x
  2. Step 2: Convert to fraction form
    525,099/1,151,871 = 1,151,871/x
  3. Step 3: Cross multiply
    525,099x = 1,151,871 × 1,151,871
  4. Step 4: Simplify right side
    525,099x = 1,326,806,800,641
  5. Step 5: Solve for x
    x = 1,326,806,800,641/525,099
  6. Step 6: Final answer
    x = 2,526,774.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.