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Finding the Third Proportional to 4,609,676 and 6,765,024

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Solution

The third proportional to 4,609,676 and 6,765,024 is: 9,928,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609,676 : 6,765,024 = 6,765,024 : x
  2. Step 2: Convert to fraction form
    4,609,676/6,765,024 = 6,765,024/x
  3. Step 3: Cross multiply
    4,609,676x = 6,765,024 × 6,765,024
  4. Step 4: Simplify right side
    4,609,676x = 45,765,549,720,576
  5. Step 5: Solve for x
    x = 45,765,549,720,576/4,609,676
  6. Step 6: Final answer
    x = 9,928,148.90

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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.