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Finding the Third Proportional to 458,821,347 and 701,398,407

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Solution

The third proportional to 458,821,347 and 701,398,407 is: 1,072,225,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,821,347 : 701,398,407 = 701,398,407 : x
  2. Step 2: Convert to fraction form
    458,821,347/701,398,407 = 701,398,407/x
  3. Step 3: Cross multiply
    458,821,347x = 701,398,407 × 701,398,407
  4. Step 4: Simplify right side
    458,821,347x = 491,959,725,342,137,664
  5. Step 5: Solve for x
    x = 491,959,725,342,137,664/458,821,347
  6. Step 6: Final answer
    x = 1,072,225,014.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.