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Finding the Third Proportional to 416,364 and 895,880

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Solution

The third proportional to 416,364 and 895,880 is: 1,927,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,364 : 895,880 = 895,880 : x
  2. Step 2: Convert to fraction form
    416,364/895,880 = 895,880/x
  3. Step 3: Cross multiply
    416,364x = 895,880 × 895,880
  4. Step 4: Simplify right side
    416,364x = 802,600,974,400
  5. Step 5: Solve for x
    x = 802,600,974,400/416,364
  6. Step 6: Final answer
    x = 1,927,642.58

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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.