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Finding the Third Proportional to 552,402 and 1,196,964

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Solution

The third proportional to 552,402 and 1,196,964 is: 2,593,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,402 : 1,196,964 = 1,196,964 : x
  2. Step 2: Convert to fraction form
    552,402/1,196,964 = 1,196,964/x
  3. Step 3: Cross multiply
    552,402x = 1,196,964 × 1,196,964
  4. Step 4: Simplify right side
    552,402x = 1,432,722,817,296
  5. Step 5: Solve for x
    x = 1,432,722,817,296/552,402
  6. Step 6: Final answer
    x = 2,593,623.52

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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.