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Finding the Third Proportional to 4,186,944 and 6,444,576

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Solution

The third proportional to 4,186,944 and 6,444,576 is: 9,919,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186,944 : 6,444,576 = 6,444,576 : x
  2. Step 2: Convert to fraction form
    4,186,944/6,444,576 = 6,444,576/x
  3. Step 3: Cross multiply
    4,186,944x = 6,444,576 × 6,444,576
  4. Step 4: Simplify right side
    4,186,944x = 41,532,559,819,776
  5. Step 5: Solve for x
    x = 41,532,559,819,776/4,186,944
  6. Step 6: Final answer
    x = 9,919,540.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.