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Finding the Third Proportional to 555,928 and 1,084,208

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Solution

The third proportional to 555,928 and 1,084,208 is: 2,114,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,928 : 1,084,208 = 1,084,208 : x
  2. Step 2: Convert to fraction form
    555,928/1,084,208 = 1,084,208/x
  3. Step 3: Cross multiply
    555,928x = 1,084,208 × 1,084,208
  4. Step 4: Simplify right side
    555,928x = 1,175,506,987,264
  5. Step 5: Solve for x
    x = 1,175,506,987,264/555,928
  6. Step 6: Final answer
    x = 2,114,495.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.