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Finding the Third Proportional to 531,955 and 1,154,334

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Solution

The third proportional to 531,955 and 1,154,334 is: 2,504,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,955 : 1,154,334 = 1,154,334 : x
  2. Step 2: Convert to fraction form
    531,955/1,154,334 = 1,154,334/x
  3. Step 3: Cross multiply
    531,955x = 1,154,334 × 1,154,334
  4. Step 4: Simplify right side
    531,955x = 1,332,486,983,556
  5. Step 5: Solve for x
    x = 1,332,486,983,556/531,955
  6. Step 6: Final answer
    x = 2,504,886.66

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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.