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Finding the Third Proportional to 979,432 and 2,047,424

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Solution

The third proportional to 979,432 and 2,047,424 is: 4,279,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,432 : 2,047,424 = 2,047,424 : x
  2. Step 2: Convert to fraction form
    979,432/2,047,424 = 2,047,424/x
  3. Step 3: Cross multiply
    979,432x = 2,047,424 × 2,047,424
  4. Step 4: Simplify right side
    979,432x = 4,191,945,035,776
  5. Step 5: Solve for x
    x = 4,191,945,035,776/979,432
  6. Step 6: Final answer
    x = 4,279,975.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.