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Finding the Third Proportional to 4,760,461 and 7,252,233

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Solution

The third proportional to 4,760,461 and 7,252,233 is: 11,048,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760,461 : 7,252,233 = 7,252,233 : x
  2. Step 2: Convert to fraction form
    4,760,461/7,252,233 = 7,252,233/x
  3. Step 3: Cross multiply
    4,760,461x = 7,252,233 × 7,252,233
  4. Step 4: Simplify right side
    4,760,461x = 52,594,883,486,289
  5. Step 5: Solve for x
    x = 52,594,883,486,289/4,760,461
  6. Step 6: Final answer
    x = 11,048,275.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.