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Finding the Third Proportional to 3,243,762 and 4,672,533

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Solution

The third proportional to 3,243,762 and 4,672,533 is: 6,730,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,762 : 4,672,533 = 4,672,533 : x
  2. Step 2: Convert to fraction form
    3,243,762/4,672,533 = 4,672,533/x
  3. Step 3: Cross multiply
    3,243,762x = 4,672,533 × 4,672,533
  4. Step 4: Simplify right side
    3,243,762x = 21,832,564,636,089
  5. Step 5: Solve for x
    x = 21,832,564,636,089/3,243,762
  6. Step 6: Final answer
    x = 6,730,630.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.