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Finding the Third Proportional to 416,394 and 895,950

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Solution

The third proportional to 416,394 and 895,950 is: 1,927,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,394 : 895,950 = 895,950 : x
  2. Step 2: Convert to fraction form
    416,394/895,950 = 895,950/x
  3. Step 3: Cross multiply
    416,394x = 895,950 × 895,950
  4. Step 4: Simplify right side
    416,394x = 802,726,402,500
  5. Step 5: Solve for x
    x = 802,726,402,500/416,394
  6. Step 6: Final answer
    x = 1,927,804.92

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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.