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Finding the Third Proportional to 1,397,471 and 2,117,166

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Solution

The third proportional to 1,397,471 and 2,117,166 is: 3,207,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,471 : 2,117,166 = 2,117,166 : x
  2. Step 2: Convert to fraction form
    1,397,471/2,117,166 = 2,117,166/x
  3. Step 3: Cross multiply
    1,397,471x = 2,117,166 × 2,117,166
  4. Step 4: Simplify right side
    1,397,471x = 4,482,391,871,556
  5. Step 5: Solve for x
    x = 4,482,391,871,556/1,397,471
  6. Step 6: Final answer
    x = 3,207,502.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.