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Finding the Third Proportional to 531,882 and 1,138,482

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Solution

The third proportional to 531,882 and 1,138,482 is: 2,436,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,882 : 1,138,482 = 1,138,482 : x
  2. Step 2: Convert to fraction form
    531,882/1,138,482 = 1,138,482/x
  3. Step 3: Cross multiply
    531,882x = 1,138,482 × 1,138,482
  4. Step 4: Simplify right side
    531,882x = 1,296,141,264,324
  5. Step 5: Solve for x
    x = 1,296,141,264,324/531,882
  6. Step 6: Final answer
    x = 2,436,896.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.