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Finding the Third Proportional to 4,574,736 and 6,729,024

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Solution

The third proportional to 4,574,736 and 6,729,024 is: 9,897,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574,736 : 6,729,024 = 6,729,024 : x
  2. Step 2: Convert to fraction form
    4,574,736/6,729,024 = 6,729,024/x
  3. Step 3: Cross multiply
    4,574,736x = 6,729,024 × 6,729,024
  4. Step 4: Simplify right side
    4,574,736x = 45,279,763,992,576
  5. Step 5: Solve for x
    x = 45,279,763,992,576/4,574,736
  6. Step 6: Final answer
    x = 9,897,787.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.