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Finding the Third Proportional to 416,370 and 895,890

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Solution

The third proportional to 416,370 and 895,890 is: 1,927,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,370 : 895,890 = 895,890 : x
  2. Step 2: Convert to fraction form
    416,370/895,890 = 895,890/x
  3. Step 3: Cross multiply
    416,370x = 895,890 × 895,890
  4. Step 4: Simplify right side
    416,370x = 802,618,892,100
  5. Step 5: Solve for x
    x = 802,618,892,100/416,370
  6. Step 6: Final answer
    x = 1,927,657.83

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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.