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Finding the Third Proportional to 610,412 and 1,325,908

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Solution

The third proportional to 610,412 and 1,325,908 is: 2,880,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,412 : 1,325,908 = 1,325,908 : x
  2. Step 2: Convert to fraction form
    610,412/1,325,908 = 1,325,908/x
  3. Step 3: Cross multiply
    610,412x = 1,325,908 × 1,325,908
  4. Step 4: Simplify right side
    610,412x = 1,758,032,024,464
  5. Step 5: Solve for x
    x = 1,758,032,024,464/610,412
  6. Step 6: Final answer
    x = 2,880,074.48

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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.