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Finding the Third Proportional to 810,184 and 1,745,020

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Solution

The third proportional to 810,184 and 1,745,020 is: 3,758,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,184 : 1,745,020 = 1,745,020 : x
  2. Step 2: Convert to fraction form
    810,184/1,745,020 = 1,745,020/x
  3. Step 3: Cross multiply
    810,184x = 1,745,020 × 1,745,020
  4. Step 4: Simplify right side
    810,184x = 3,045,094,800,400
  5. Step 5: Solve for x
    x = 3,045,094,800,400/810,184
  6. Step 6: Final answer
    x = 3,758,522.51

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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.