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Finding the Third Proportional to 382,991,874 and 606,551,407

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Solution

The third proportional to 382,991,874 and 606,551,407 is: 960,606,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,991,874 : 606,551,407 = 606,551,407 : x
  2. Step 2: Convert to fraction form
    382,991,874/606,551,407 = 606,551,407/x
  3. Step 3: Cross multiply
    382,991,874x = 606,551,407 × 606,551,407
  4. Step 4: Simplify right side
    382,991,874x = 367,904,609,333,679,680
  5. Step 5: Solve for x
    x = 367,904,609,333,679,680/382,991,874
  6. Step 6: Final answer
    x = 960,606,828.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.