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Finding the Third Proportional to 852,471 and 1,865,484

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Solution

The third proportional to 852,471 and 1,865,484 is: 4,082,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,471 : 1,865,484 = 1,865,484 : x
  2. Step 2: Convert to fraction form
    852,471/1,865,484 = 1,865,484/x
  3. Step 3: Cross multiply
    852,471x = 1,865,484 × 1,865,484
  4. Step 4: Simplify right side
    852,471x = 3,480,030,554,256
  5. Step 5: Solve for x
    x = 3,480,030,554,256/852,471
  6. Step 6: Final answer
    x = 4,082,286.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.