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Finding the Third Proportional to 466,629,655 and 999,817,581

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Solution

The third proportional to 466,629,655 and 999,817,581 is: 2,142,245,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,629,655 : 999,817,581 = 999,817,581 : x
  2. Step 2: Convert to fraction form
    466,629,655/999,817,581 = 999,817,581/x
  3. Step 3: Cross multiply
    466,629,655x = 999,817,581 × 999,817,581
  4. Step 4: Simplify right side
    466,629,655x = 999,635,195,276,691,584
  5. Step 5: Solve for x
    x = 999,635,195,276,691,584/466,629,655
  6. Step 6: Final answer
    x = 2,142,245,321.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.