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Finding the Third Proportional to 610,652 and 1,322,952

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Solution

The third proportional to 610,652 and 1,322,952 is: 2,866,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,652 : 1,322,952 = 1,322,952 : x
  2. Step 2: Convert to fraction form
    610,652/1,322,952 = 1,322,952/x
  3. Step 3: Cross multiply
    610,652x = 1,322,952 × 1,322,952
  4. Step 4: Simplify right side
    610,652x = 1,750,201,994,304
  5. Step 5: Solve for x
    x = 1,750,201,994,304/610,652
  6. Step 6: Final answer
    x = 2,866,120.14

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Why These Related Problems?

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