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Finding the Third Proportional to 2,296,416 and 3,584,160

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Solution

The third proportional to 2,296,416 and 3,584,160 is: 5,594,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,416 : 3,584,160 = 3,584,160 : x
  2. Step 2: Convert to fraction form
    2,296,416/3,584,160 = 3,584,160/x
  3. Step 3: Cross multiply
    2,296,416x = 3,584,160 × 3,584,160
  4. Step 4: Simplify right side
    2,296,416x = 12,846,202,905,600
  5. Step 5: Solve for x
    x = 12,846,202,905,600/2,296,416
  6. Step 6: Final answer
    x = 5,594,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.