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Finding the Third Proportional to 552,423 and 836,106

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Solution

The third proportional to 552,423 and 836,106 is: 1,265,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,423 : 836,106 = 836,106 : x
  2. Step 2: Convert to fraction form
    552,423/836,106 = 836,106/x
  3. Step 3: Cross multiply
    552,423x = 836,106 × 836,106
  4. Step 4: Simplify right side
    552,423x = 699,073,243,236
  5. Step 5: Solve for x
    x = 699,073,243,236/552,423
  6. Step 6: Final answer
    x = 1,265,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.