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Finding the Third Proportional to 984,360 and 2,105,213

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Solution

The third proportional to 984,360 and 2,105,213 is: 4,502,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,360 : 2,105,213 = 2,105,213 : x
  2. Step 2: Convert to fraction form
    984,360/2,105,213 = 2,105,213/x
  3. Step 3: Cross multiply
    984,360x = 2,105,213 × 2,105,213
  4. Step 4: Simplify right side
    984,360x = 4,431,921,775,369
  5. Step 5: Solve for x
    x = 4,431,921,775,369/984,360
  6. Step 6: Final answer
    x = 4,502,338.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.