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Finding the Third Proportional to 416,368 and 895,886

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Solution

The third proportional to 416,368 and 895,886 is: 1,927,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,368 : 895,886 = 895,886 : x
  2. Step 2: Convert to fraction form
    416,368/895,886 = 895,886/x
  3. Step 3: Cross multiply
    416,368x = 895,886 × 895,886
  4. Step 4: Simplify right side
    416,368x = 802,611,724,996
  5. Step 5: Solve for x
    x = 802,611,724,996/416,368
  6. Step 6: Final answer
    x = 1,927,649.88

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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.