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Finding the Third Proportional to 531,954 and 1,154,332

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Solution

The third proportional to 531,954 and 1,154,332 is: 2,504,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,954 : 1,154,332 = 1,154,332 : x
  2. Step 2: Convert to fraction form
    531,954/1,154,332 = 1,154,332/x
  3. Step 3: Cross multiply
    531,954x = 1,154,332 × 1,154,332
  4. Step 4: Simplify right side
    531,954x = 1,332,482,366,224
  5. Step 5: Solve for x
    x = 1,332,482,366,224/531,954
  6. Step 6: Final answer
    x = 2,504,882.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.