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Finding the Third Proportional to 522,877 and 1,133,674

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Solution

The third proportional to 522,877 and 1,133,674 is: 2,457,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,877 : 1,133,674 = 1,133,674 : x
  2. Step 2: Convert to fraction form
    522,877/1,133,674 = 1,133,674/x
  3. Step 3: Cross multiply
    522,877x = 1,133,674 × 1,133,674
  4. Step 4: Simplify right side
    522,877x = 1,285,216,738,276
  5. Step 5: Solve for x
    x = 1,285,216,738,276/522,877
  6. Step 6: Final answer
    x = 2,457,971.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.