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Finding the Third Proportional to 439,211,044 and 585,545,906

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Solution

The third proportional to 439,211,044 and 585,545,906 is: 780,636,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,211,044 : 585,545,906 = 585,545,906 : x
  2. Step 2: Convert to fraction form
    439,211,044/585,545,906 = 585,545,906/x
  3. Step 3: Cross multiply
    439,211,044x = 585,545,906 × 585,545,906
  4. Step 4: Simplify right side
    439,211,044x = 342,864,008,033,360,832
  5. Step 5: Solve for x
    x = 342,864,008,033,360,832/439,211,044
  6. Step 6: Final answer
    x = 780,636,126.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.