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Finding the Third Proportional to 475,459 and 972,780

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Solution

The third proportional to 475,459 and 972,780 is: 1,990,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,459 : 972,780 = 972,780 : x
  2. Step 2: Convert to fraction form
    475,459/972,780 = 972,780/x
  3. Step 3: Cross multiply
    475,459x = 972,780 × 972,780
  4. Step 4: Simplify right side
    475,459x = 946,300,928,400
  5. Step 5: Solve for x
    x = 946,300,928,400/475,459
  6. Step 6: Final answer
    x = 1,990,289.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.