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Finding the Third Proportional to 525,947 and 1,136,005

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Solution

The third proportional to 525,947 and 1,136,005 is: 2,453,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,947 : 1,136,005 = 1,136,005 : x
  2. Step 2: Convert to fraction form
    525,947/1,136,005 = 1,136,005/x
  3. Step 3: Cross multiply
    525,947x = 1,136,005 × 1,136,005
  4. Step 4: Simplify right side
    525,947x = 1,290,507,360,025
  5. Step 5: Solve for x
    x = 1,290,507,360,025/525,947
  6. Step 6: Final answer
    x = 2,453,683.28

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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.