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Finding the Third Proportional to 471,357 and 1,017,414

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Solution

The third proportional to 471,357 and 1,017,414 is: 2,196,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,357 : 1,017,414 = 1,017,414 : x
  2. Step 2: Convert to fraction form
    471,357/1,017,414 = 1,017,414/x
  3. Step 3: Cross multiply
    471,357x = 1,017,414 × 1,017,414
  4. Step 4: Simplify right side
    471,357x = 1,035,131,247,396
  5. Step 5: Solve for x
    x = 1,035,131,247,396/471,357
  6. Step 6: Final answer
    x = 2,196,066.35

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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.