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Finding the Third Proportional to 664,052 and 1,407,906

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Solution

The third proportional to 664,052 and 1,407,906 is: 2,985,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,052 : 1,407,906 = 1,407,906 : x
  2. Step 2: Convert to fraction form
    664,052/1,407,906 = 1,407,906/x
  3. Step 3: Cross multiply
    664,052x = 1,407,906 × 1,407,906
  4. Step 4: Simplify right side
    664,052x = 1,982,199,304,836
  5. Step 5: Solve for x
    x = 1,982,199,304,836/664,052
  6. Step 6: Final answer
    x = 2,985,006.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.