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Finding the Third Proportional to 688,825 and 1,483,202

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Solution

The third proportional to 688,825 and 1,483,202 is: 3,193,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,825 : 1,483,202 = 1,483,202 : x
  2. Step 2: Convert to fraction form
    688,825/1,483,202 = 1,483,202/x
  3. Step 3: Cross multiply
    688,825x = 1,483,202 × 1,483,202
  4. Step 4: Simplify right side
    688,825x = 2,199,888,172,804
  5. Step 5: Solve for x
    x = 2,199,888,172,804/688,825
  6. Step 6: Final answer
    x = 3,193,682.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.