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Finding the Third Proportional to 665,061 and 1,377,417

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Solution

The third proportional to 665,061 and 1,377,417 is: 2,852,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,061 : 1,377,417 = 1,377,417 : x
  2. Step 2: Convert to fraction form
    665,061/1,377,417 = 1,377,417/x
  3. Step 3: Cross multiply
    665,061x = 1,377,417 × 1,377,417
  4. Step 4: Simplify right side
    665,061x = 1,897,277,591,889
  5. Step 5: Solve for x
    x = 1,897,277,591,889/665,061
  6. Step 6: Final answer
    x = 2,852,787.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.