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Finding the Third Proportional to 810,270 and 1,746,135

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Solution

The third proportional to 810,270 and 1,746,135 is: 3,762,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,270 : 1,746,135 = 1,746,135 : x
  2. Step 2: Convert to fraction form
    810,270/1,746,135 = 1,746,135/x
  3. Step 3: Cross multiply
    810,270x = 1,746,135 × 1,746,135
  4. Step 4: Simplify right side
    810,270x = 3,048,987,438,225
  5. Step 5: Solve for x
    x = 3,048,987,438,225/810,270
  6. Step 6: Final answer
    x = 3,762,927.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.