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Finding the Third Proportional to 4,332,669 and 6,057,033

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Solution

The third proportional to 4,332,669 and 6,057,033 is: 8,467,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332,669 : 6,057,033 = 6,057,033 : x
  2. Step 2: Convert to fraction form
    4,332,669/6,057,033 = 6,057,033/x
  3. Step 3: Cross multiply
    4,332,669x = 6,057,033 × 6,057,033
  4. Step 4: Simplify right side
    4,332,669x = 36,687,648,763,089
  5. Step 5: Solve for x
    x = 36,687,648,763,089/4,332,669
  6. Step 6: Final answer
    x = 8,467,678.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.