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Finding the Third Proportional to 416,748 and 895,620

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Solution

The third proportional to 416,748 and 895,620 is: 1,924,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,748 : 895,620 = 895,620 : x
  2. Step 2: Convert to fraction form
    416,748/895,620 = 895,620/x
  3. Step 3: Cross multiply
    416,748x = 895,620 × 895,620
  4. Step 4: Simplify right side
    416,748x = 802,135,184,400
  5. Step 5: Solve for x
    x = 802,135,184,400/416,748
  6. Step 6: Final answer
    x = 1,924,748.73

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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.