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Finding the Third Proportional to 1,068,416 and 2,176,416

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Solution

The third proportional to 1,068,416 and 2,176,416 is: 4,433,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,416 : 2,176,416 = 2,176,416 : x
  2. Step 2: Convert to fraction form
    1,068,416/2,176,416 = 2,176,416/x
  3. Step 3: Cross multiply
    1,068,416x = 2,176,416 × 2,176,416
  4. Step 4: Simplify right side
    1,068,416x = 4,736,786,605,056
  5. Step 5: Solve for x
    x = 4,736,786,605,056/1,068,416
  6. Step 6: Final answer
    x = 4,433,466.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.