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Finding the Third Proportional to 473,825 and 1,023,520

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Solution

The third proportional to 473,825 and 1,023,520 is: 2,210,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,825 : 1,023,520 = 1,023,520 : x
  2. Step 2: Convert to fraction form
    473,825/1,023,520 = 1,023,520/x
  3. Step 3: Cross multiply
    473,825x = 1,023,520 × 1,023,520
  4. Step 4: Simplify right side
    473,825x = 1,047,593,190,400
  5. Step 5: Solve for x
    x = 1,047,593,190,400/473,825
  6. Step 6: Final answer
    x = 2,210,928.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.