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Finding the Third Proportional to 525,945 and 1,136,001

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Solution

The third proportional to 525,945 and 1,136,001 is: 2,453,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,945 : 1,136,001 = 1,136,001 : x
  2. Step 2: Convert to fraction form
    525,945/1,136,001 = 1,136,001/x
  3. Step 3: Cross multiply
    525,945x = 1,136,001 × 1,136,001
  4. Step 4: Simplify right side
    525,945x = 1,290,498,272,001
  5. Step 5: Solve for x
    x = 1,290,498,272,001/525,945
  6. Step 6: Final answer
    x = 2,453,675.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.