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Finding the Third Proportional to 531,152 and 1,244,288

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Solution

The third proportional to 531,152 and 1,244,288 is: 2,914,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,152 : 1,244,288 = 1,244,288 : x
  2. Step 2: Convert to fraction form
    531,152/1,244,288 = 1,244,288/x
  3. Step 3: Cross multiply
    531,152x = 1,244,288 × 1,244,288
  4. Step 4: Simplify right side
    531,152x = 1,548,252,626,944
  5. Step 5: Solve for x
    x = 1,548,252,626,944/531,152
  6. Step 6: Final answer
    x = 2,914,895.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.