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Finding the Third Proportional to 416,363 and 895,878

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Solution

The third proportional to 416,363 and 895,878 is: 1,927,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,363 : 895,878 = 895,878 : x
  2. Step 2: Convert to fraction form
    416,363/895,878 = 895,878/x
  3. Step 3: Cross multiply
    416,363x = 895,878 × 895,878
  4. Step 4: Simplify right side
    416,363x = 802,597,390,884
  5. Step 5: Solve for x
    x = 802,597,390,884/416,363
  6. Step 6: Final answer
    x = 1,927,638.60

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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.