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Finding the Third Proportional to 458,821,349 and 701,398,410

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Solution

The third proportional to 458,821,349 and 701,398,410 is: 1,072,225,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,821,349 : 701,398,410 = 701,398,410 : x
  2. Step 2: Convert to fraction form
    458,821,349/701,398,410 = 701,398,410/x
  3. Step 3: Cross multiply
    458,821,349x = 701,398,410 × 701,398,410
  4. Step 4: Simplify right side
    458,821,349x = 491,959,729,550,528,128
  5. Step 5: Solve for x
    x = 491,959,729,550,528,128/458,821,349
  6. Step 6: Final answer
    x = 1,072,225,018.79

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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.