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Finding the Third Proportional to 984,568 and 1,475,210

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Solution

The third proportional to 984,568 and 1,475,210 is: 2,210,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,568 : 1,475,210 = 1,475,210 : x
  2. Step 2: Convert to fraction form
    984,568/1,475,210 = 1,475,210/x
  3. Step 3: Cross multiply
    984,568x = 1,475,210 × 1,475,210
  4. Step 4: Simplify right side
    984,568x = 2,176,244,544,100
  5. Step 5: Solve for x
    x = 2,176,244,544,100/984,568
  6. Step 6: Final answer
    x = 2,210,354.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.