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Finding the Third Proportional to 2,052,378 and 4,750,731

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Solution

The third proportional to 2,052,378 and 4,750,731 is: 10,996,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,378 : 4,750,731 = 4,750,731 : x
  2. Step 2: Convert to fraction form
    2,052,378/4,750,731 = 4,750,731/x
  3. Step 3: Cross multiply
    2,052,378x = 4,750,731 × 4,750,731
  4. Step 4: Simplify right side
    2,052,378x = 22,569,445,034,361
  5. Step 5: Solve for x
    x = 22,569,445,034,361/2,052,378
  6. Step 6: Final answer
    x = 10,996,729.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.