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Finding the Third Proportional to 852,768 and 1,974,384

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Solution

The third proportional to 852,768 and 1,974,384 is: 4,571,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,768 : 1,974,384 = 1,974,384 : x
  2. Step 2: Convert to fraction form
    852,768/1,974,384 = 1,974,384/x
  3. Step 3: Cross multiply
    852,768x = 1,974,384 × 1,974,384
  4. Step 4: Simplify right side
    852,768x = 3,898,192,179,456
  5. Step 5: Solve for x
    x = 3,898,192,179,456/852,768
  6. Step 6: Final answer
    x = 4,571,222.40

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.