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Finding the Third Proportional to 2,315,240 and 4,962,724

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Solution

The third proportional to 2,315,240 and 4,962,724 is: 10,637,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315,240 : 4,962,724 = 4,962,724 : x
  2. Step 2: Convert to fraction form
    2,315,240/4,962,724 = 4,962,724/x
  3. Step 3: Cross multiply
    2,315,240x = 4,962,724 × 4,962,724
  4. Step 4: Simplify right side
    2,315,240x = 24,628,629,500,176
  5. Step 5: Solve for x
    x = 24,628,629,500,176/2,315,240
  6. Step 6: Final answer
    x = 10,637,614.03

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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.