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Finding the Third Proportional to 462,451,494 and 676,313,217

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Solution

The third proportional to 462,451,494 and 676,313,217 is: 989,075,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,451,494 : 676,313,217 = 676,313,217 : x
  2. Step 2: Convert to fraction form
    462,451,494/676,313,217 = 676,313,217/x
  3. Step 3: Cross multiply
    462,451,494x = 676,313,217 × 676,313,217
  4. Step 4: Simplify right side
    462,451,494x = 457,399,567,488,889,088
  5. Step 5: Solve for x
    x = 457,399,567,488,889,088/462,451,494
  6. Step 6: Final answer
    x = 989,075,769.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.