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Finding the Third Proportional to 459,072 and 984,552

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Solution

The third proportional to 459,072 and 984,552 is: 2,111,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,072 : 984,552 = 984,552 : x
  2. Step 2: Convert to fraction form
    459,072/984,552 = 984,552/x
  3. Step 3: Cross multiply
    459,072x = 984,552 × 984,552
  4. Step 4: Simplify right side
    459,072x = 969,342,640,704
  5. Step 5: Solve for x
    x = 969,342,640,704/459,072
  6. Step 6: Final answer
    x = 2,111,526.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.