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Finding the Third Proportional to 1,002,575 and 2,164,954

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Solution

The third proportional to 1,002,575 and 2,164,954 is: 4,674,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,575 : 2,164,954 = 2,164,954 : x
  2. Step 2: Convert to fraction form
    1,002,575/2,164,954 = 2,164,954/x
  3. Step 3: Cross multiply
    1,002,575x = 2,164,954 × 2,164,954
  4. Step 4: Simplify right side
    1,002,575x = 4,687,025,822,116
  5. Step 5: Solve for x
    x = 4,687,025,822,116/1,002,575
  6. Step 6: Final answer
    x = 4,674,987.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.