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Finding the Third Proportional to 424,895,175 and 914,360,420.25

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Solution

The third proportional to 424,895,175 and 914,360,420.25 is: 1,967,673,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,895,175 : 914,360,420.25 = 914,360,420.25 : x
  2. Step 2: Convert to fraction form
    424,895,175/914,360,420.25 = 914,360,420.25/x
  3. Step 3: Cross multiply
    424,895,175x = 914,360,420.25 × 914,360,420.25
  4. Step 4: Simplify right side
    424,895,175x = 836,054,978,119,756,672
  5. Step 5: Solve for x
    x = 836,054,978,119,756,672/424,895,175
  6. Step 6: Final answer
    x = 1,967,673,504.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.