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Finding the Third Proportional to 665,946 and 1,453,554

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Solution

The third proportional to 665,946 and 1,453,554 is: 3,172,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,946 : 1,453,554 = 1,453,554 : x
  2. Step 2: Convert to fraction form
    665,946/1,453,554 = 1,453,554/x
  3. Step 3: Cross multiply
    665,946x = 1,453,554 × 1,453,554
  4. Step 4: Simplify right side
    665,946x = 2,112,819,230,916
  5. Step 5: Solve for x
    x = 2,112,819,230,916/665,946
  6. Step 6: Final answer
    x = 3,172,658.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.