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Finding the Third Proportional to 552,418 and 836,095

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Solution

The third proportional to 552,418 and 836,095 is: 1,265,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,418 : 836,095 = 836,095 : x
  2. Step 2: Convert to fraction form
    552,418/836,095 = 836,095/x
  3. Step 3: Cross multiply
    552,418x = 836,095 × 836,095
  4. Step 4: Simplify right side
    552,418x = 699,054,849,025
  5. Step 5: Solve for x
    x = 699,054,849,025/552,418
  6. Step 6: Final answer
    x = 1,265,445.46

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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.