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Finding the Third Proportional to 551,080 and 834,922

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Solution

The third proportional to 551,080 and 834,922 is: 1,264,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,080 : 834,922 = 834,922 : x
  2. Step 2: Convert to fraction form
    551,080/834,922 = 834,922/x
  3. Step 3: Cross multiply
    551,080x = 834,922 × 834,922
  4. Step 4: Simplify right side
    551,080x = 697,094,746,084
  5. Step 5: Solve for x
    x = 697,094,746,084/551,080
  6. Step 6: Final answer
    x = 1,264,961.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.