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Finding the Third Proportional to 1,015,416 and 2,230,133

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Solution

The third proportional to 1,015,416 and 2,230,133 is: 4,897,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,416 : 2,230,133 = 2,230,133 : x
  2. Step 2: Convert to fraction form
    1,015,416/2,230,133 = 2,230,133/x
  3. Step 3: Cross multiply
    1,015,416x = 2,230,133 × 2,230,133
  4. Step 4: Simplify right side
    1,015,416x = 4,973,493,197,689
  5. Step 5: Solve for x
    x = 4,973,493,197,689/1,015,416
  6. Step 6: Final answer
    x = 4,897,985.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.