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Finding the Third Proportional to 531,307 and 1,146,577

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Solution

The third proportional to 531,307 and 1,146,577 is: 2,474,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,307 : 1,146,577 = 1,146,577 : x
  2. Step 2: Convert to fraction form
    531,307/1,146,577 = 1,146,577/x
  3. Step 3: Cross multiply
    531,307x = 1,146,577 × 1,146,577
  4. Step 4: Simplify right side
    531,307x = 1,314,638,816,929
  5. Step 5: Solve for x
    x = 1,314,638,816,929/531,307
  6. Step 6: Final answer
    x = 2,474,348.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.