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Finding the Third Proportional to 670,884 and 1,459,872

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Solution

The third proportional to 670,884 and 1,459,872 is: 3,176,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,884 : 1,459,872 = 1,459,872 : x
  2. Step 2: Convert to fraction form
    670,884/1,459,872 = 1,459,872/x
  3. Step 3: Cross multiply
    670,884x = 1,459,872 × 1,459,872
  4. Step 4: Simplify right side
    670,884x = 2,131,226,256,384
  5. Step 5: Solve for x
    x = 2,131,226,256,384/670,884
  6. Step 6: Final answer
    x = 3,176,743.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.