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Finding the Third Proportional to 1,005,512 and 2,168,464

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Solution

The third proportional to 1,005,512 and 2,168,464 is: 4,676,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,512 : 2,168,464 = 2,168,464 : x
  2. Step 2: Convert to fraction form
    1,005,512/2,168,464 = 2,168,464/x
  3. Step 3: Cross multiply
    1,005,512x = 2,168,464 × 2,168,464
  4. Step 4: Simplify right side
    1,005,512x = 4,702,236,119,296
  5. Step 5: Solve for x
    x = 4,702,236,119,296/1,005,512
  6. Step 6: Final answer
    x = 4,676,459.47

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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.