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Finding the Third Proportional to 984,581 and 1,475,230

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Solution

The third proportional to 984,581 and 1,475,230 is: 2,210,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,581 : 1,475,230 = 1,475,230 : x
  2. Step 2: Convert to fraction form
    984,581/1,475,230 = 1,475,230/x
  3. Step 3: Cross multiply
    984,581x = 1,475,230 × 1,475,230
  4. Step 4: Simplify right side
    984,581x = 2,176,303,552,900
  5. Step 5: Solve for x
    x = 2,176,303,552,900/984,581
  6. Step 6: Final answer
    x = 2,210,385.49

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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.