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Finding the Third Proportional to 531,324 and 1,146,608

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Solution

The third proportional to 531,324 and 1,146,608 is: 2,474,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,324 : 1,146,608 = 1,146,608 : x
  2. Step 2: Convert to fraction form
    531,324/1,146,608 = 1,146,608/x
  3. Step 3: Cross multiply
    531,324x = 1,146,608 × 1,146,608
  4. Step 4: Simplify right side
    531,324x = 1,314,709,905,664
  5. Step 5: Solve for x
    x = 1,314,709,905,664/531,324
  6. Step 6: Final answer
    x = 2,474,403.39

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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.