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Finding the Third Proportional to 416,361 and 895,871

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Solution

The third proportional to 416,361 and 895,871 is: 1,927,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,361 : 895,871 = 895,871 : x
  2. Step 2: Convert to fraction form
    416,361/895,871 = 895,871/x
  3. Step 3: Cross multiply
    416,361x = 895,871 × 895,871
  4. Step 4: Simplify right side
    416,361x = 802,584,848,641
  5. Step 5: Solve for x
    x = 802,584,848,641/416,361
  6. Step 6: Final answer
    x = 1,927,617.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.