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Finding the Third Proportional to 605,397.75 and 1,317,206.63

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Solution

The third proportional to 605,397.75 and 1,317,206.63 is: 2,865,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,397.75 : 1,317,206.63 = 1,317,206.63 : x
  2. Step 2: Convert to fraction form
    605,397.75/1,317,206.63 = 1,317,206.63/x
  3. Step 3: Cross multiply
    605,397.75x = 1,317,206.63 × 1,317,206.63
  4. Step 4: Simplify right side
    605,397.75x = 1,735,033,292,943.89
  5. Step 5: Solve for x
    x = 1,735,033,292,943.89/605,397.75
  6. Step 6: Final answer
    x = 2,865,939.45

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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.