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Finding the Third Proportional to 3,159,789 and 4,767,642

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Solution

The third proportional to 3,159,789 and 4,767,642 is: 7,193,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,789 : 4,767,642 = 4,767,642 : x
  2. Step 2: Convert to fraction form
    3,159,789/4,767,642 = 4,767,642/x
  3. Step 3: Cross multiply
    3,159,789x = 4,767,642 × 4,767,642
  4. Step 4: Simplify right side
    3,159,789x = 22,730,410,240,164
  5. Step 5: Solve for x
    x = 22,730,410,240,164/3,159,789
  6. Step 6: Final answer
    x = 7,193,648.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.