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Finding the Third Proportional to 525,501 and 1,149,154

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Solution

The third proportional to 525,501 and 1,149,154 is: 2,512,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,501 : 1,149,154 = 1,149,154 : x
  2. Step 2: Convert to fraction form
    525,501/1,149,154 = 1,149,154/x
  3. Step 3: Cross multiply
    525,501x = 1,149,154 × 1,149,154
  4. Step 4: Simplify right side
    525,501x = 1,320,554,915,716
  5. Step 5: Solve for x
    x = 1,320,554,915,716/525,501
  6. Step 6: Final answer
    x = 2,512,944.63

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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.