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Finding the Third Proportional to 585,747,146 and 1,284,028,564

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Solution

The third proportional to 585,747,146 and 1,284,028,564 is: 2,814,745,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,747,146 : 1,284,028,564 = 1,284,028,564 : x
  2. Step 2: Convert to fraction form
    585,747,146/1,284,028,564 = 1,284,028,564/x
  3. Step 3: Cross multiply
    585,747,146x = 1,284,028,564 × 1,284,028,564
  4. Step 4: Simplify right side
    585,747,146x = 1,648,729,353,167,902,208
  5. Step 5: Solve for x
    x = 1,648,729,353,167,902,208/585,747,146
  6. Step 6: Final answer
    x = 2,814,745,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.