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Finding the Third Proportional to 2,574,808 and 5,482,256

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Solution

The third proportional to 2,574,808 and 5,482,256 is: 11,672,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,808 : 5,482,256 = 5,482,256 : x
  2. Step 2: Convert to fraction form
    2,574,808/5,482,256 = 5,482,256/x
  3. Step 3: Cross multiply
    2,574,808x = 5,482,256 × 5,482,256
  4. Step 4: Simplify right side
    2,574,808x = 30,055,130,849,536
  5. Step 5: Solve for x
    x = 30,055,130,849,536/2,574,808
  6. Step 6: Final answer
    x = 11,672,765.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.