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Finding the Third Proportional to 531,947 and 1,154,319

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Solution

The third proportional to 531,947 and 1,154,319 is: 2,504,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,947 : 1,154,319 = 1,154,319 : x
  2. Step 2: Convert to fraction form
    531,947/1,154,319 = 1,154,319/x
  3. Step 3: Cross multiply
    531,947x = 1,154,319 × 1,154,319
  4. Step 4: Simplify right side
    531,947x = 1,332,452,353,761
  5. Step 5: Solve for x
    x = 1,332,452,353,761/531,947
  6. Step 6: Final answer
    x = 2,504,859.23

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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.