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Finding the Third Proportional to 665,111 and 1,454,638

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Solution

The third proportional to 665,111 and 1,454,638 is: 3,181,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,111 : 1,454,638 = 1,454,638 : x
  2. Step 2: Convert to fraction form
    665,111/1,454,638 = 1,454,638/x
  3. Step 3: Cross multiply
    665,111x = 1,454,638 × 1,454,638
  4. Step 4: Simplify right side
    665,111x = 2,115,971,711,044
  5. Step 5: Solve for x
    x = 2,115,971,711,044/665,111
  6. Step 6: Final answer
    x = 3,181,381.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.