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Finding the Third Proportional to 459,571 and 972,133

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Solution

The third proportional to 459,571 and 972,133 is: 2,056,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,571 : 972,133 = 972,133 : x
  2. Step 2: Convert to fraction form
    459,571/972,133 = 972,133/x
  3. Step 3: Cross multiply
    459,571x = 972,133 × 972,133
  4. Step 4: Simplify right side
    459,571x = 945,042,569,689
  5. Step 5: Solve for x
    x = 945,042,569,689/459,571
  6. Step 6: Final answer
    x = 2,056,358.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.