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Finding the Third Proportional to 610,464 and 1,325,976

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Solution

The third proportional to 610,464 and 1,325,976 is: 2,880,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,464 : 1,325,976 = 1,325,976 : x
  2. Step 2: Convert to fraction form
    610,464/1,325,976 = 1,325,976/x
  3. Step 3: Cross multiply
    610,464x = 1,325,976 × 1,325,976
  4. Step 4: Simplify right side
    610,464x = 1,758,212,352,576
  5. Step 5: Solve for x
    x = 1,758,212,352,576/610,464
  6. Step 6: Final answer
    x = 2,880,124.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.