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Finding the Third Proportional to 416,365 and 895,879

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Solution

The third proportional to 416,365 and 895,879 is: 1,927,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,365 : 895,879 = 895,879 : x
  2. Step 2: Convert to fraction form
    416,365/895,879 = 895,879/x
  3. Step 3: Cross multiply
    416,365x = 895,879 × 895,879
  4. Step 4: Simplify right side
    416,365x = 802,599,182,641
  5. Step 5: Solve for x
    x = 802,599,182,641/416,365
  6. Step 6: Final answer
    x = 1,927,633.65

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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.