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Finding the Third Proportional to 4,761,844 and 7,185,702

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Solution

The third proportional to 4,761,844 and 7,185,702 is: 10,843,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,844 : 7,185,702 = 7,185,702 : x
  2. Step 2: Convert to fraction form
    4,761,844/7,185,702 = 7,185,702/x
  3. Step 3: Cross multiply
    4,761,844x = 7,185,702 × 7,185,702
  4. Step 4: Simplify right side
    4,761,844x = 51,634,313,232,804
  5. Step 5: Solve for x
    x = 51,634,313,232,804/4,761,844
  6. Step 6: Final answer
    x = 10,843,344.14

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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.