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Finding the Third Proportional to 665,147.50 and 1,459,056

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Solution

The third proportional to 665,147.50 and 1,459,056 is: 3,200,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,147.50 : 1,459,056 = 1,459,056 : x
  2. Step 2: Convert to fraction form
    665,147.50/1,459,056 = 1,459,056/x
  3. Step 3: Cross multiply
    665,147.50x = 1,459,056 × 1,459,056
  4. Step 4: Simplify right side
    665,147.50x = 2,128,844,411,136
  5. Step 5: Solve for x
    x = 2,128,844,411,136/665,147.50
  6. Step 6: Final answer
    x = 3,200,559.89

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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.