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Finding the Third Proportional to 525,888 and 1,151,284

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Solution

The third proportional to 525,888 and 1,151,284 is: 2,520,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,888 : 1,151,284 = 1,151,284 : x
  2. Step 2: Convert to fraction form
    525,888/1,151,284 = 1,151,284/x
  3. Step 3: Cross multiply
    525,888x = 1,151,284 × 1,151,284
  4. Step 4: Simplify right side
    525,888x = 1,325,454,848,656
  5. Step 5: Solve for x
    x = 1,325,454,848,656/525,888
  6. Step 6: Final answer
    x = 2,520,412.80

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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.