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Finding the Third Proportional to 531,465 and 1,133,883

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Solution

The third proportional to 531,465 and 1,133,883 is: 2,419,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,465 : 1,133,883 = 1,133,883 : x
  2. Step 2: Convert to fraction form
    531,465/1,133,883 = 1,133,883/x
  3. Step 3: Cross multiply
    531,465x = 1,133,883 × 1,133,883
  4. Step 4: Simplify right side
    531,465x = 1,285,690,657,689
  5. Step 5: Solve for x
    x = 1,285,690,657,689/531,465
  6. Step 6: Final answer
    x = 2,419,144.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.