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Finding the Third Proportional to 4,489,645 and 6,846,564

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Solution

The third proportional to 4,489,645 and 6,846,564 is: 10,440,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,645 : 6,846,564 = 6,846,564 : x
  2. Step 2: Convert to fraction form
    4,489,645/6,846,564 = 6,846,564/x
  3. Step 3: Cross multiply
    4,489,645x = 6,846,564 × 6,846,564
  4. Step 4: Simplify right side
    4,489,645x = 46,875,438,606,096
  5. Step 5: Solve for x
    x = 46,875,438,606,096/4,489,645
  6. Step 6: Final answer
    x = 10,440,789.55

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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.