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Finding the Third Proportional to 531,462 and 1,133,877

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Solution

The third proportional to 531,462 and 1,133,877 is: 2,419,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,462 : 1,133,877 = 1,133,877 : x
  2. Step 2: Convert to fraction form
    531,462/1,133,877 = 1,133,877/x
  3. Step 3: Cross multiply
    531,462x = 1,133,877 × 1,133,877
  4. Step 4: Simplify right side
    531,462x = 1,285,677,051,129
  5. Step 5: Solve for x
    x = 1,285,677,051,129/531,462
  6. Step 6: Final answer
    x = 2,419,132.60

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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.