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Finding the Third Proportional to 416,366 and 895,882

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Solution

The third proportional to 416,366 and 895,882 is: 1,927,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,366 : 895,882 = 895,882 : x
  2. Step 2: Convert to fraction form
    416,366/895,882 = 895,882/x
  3. Step 3: Cross multiply
    416,366x = 895,882 × 895,882
  4. Step 4: Simplify right side
    416,366x = 802,604,557,924
  5. Step 5: Solve for x
    x = 802,604,557,924/416,366
  6. Step 6: Final answer
    x = 1,927,641.93

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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.