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Finding the Third Proportional to 517,380 and 1,125,888

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Solution

The third proportional to 517,380 and 1,125,888 is: 2,450,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,380 : 1,125,888 = 1,125,888 : x
  2. Step 2: Convert to fraction form
    517,380/1,125,888 = 1,125,888/x
  3. Step 3: Cross multiply
    517,380x = 1,125,888 × 1,125,888
  4. Step 4: Simplify right side
    517,380x = 1,267,623,788,544
  5. Step 5: Solve for x
    x = 1,267,623,788,544/517,380
  6. Step 6: Final answer
    x = 2,450,082.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.