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Finding the Third Proportional to 984,566 and 1,475,208

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Solution

The third proportional to 984,566 and 1,475,208 is: 2,210,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,566 : 1,475,208 = 1,475,208 : x
  2. Step 2: Convert to fraction form
    984,566/1,475,208 = 1,475,208/x
  3. Step 3: Cross multiply
    984,566x = 1,475,208 × 1,475,208
  4. Step 4: Simplify right side
    984,566x = 2,176,238,643,264
  5. Step 5: Solve for x
    x = 2,176,238,643,264/984,566
  6. Step 6: Final answer
    x = 2,210,353.24

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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.