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Finding the Third Proportional to 463,408 and 1,011,968

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Solution

The third proportional to 463,408 and 1,011,968 is: 2,209,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,408 : 1,011,968 = 1,011,968 : x
  2. Step 2: Convert to fraction form
    463,408/1,011,968 = 1,011,968/x
  3. Step 3: Cross multiply
    463,408x = 1,011,968 × 1,011,968
  4. Step 4: Simplify right side
    463,408x = 1,024,079,233,024
  5. Step 5: Solve for x
    x = 1,024,079,233,024/463,408
  6. Step 6: Final answer
    x = 2,209,886.82

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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.