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Finding the Third Proportional to 2,507,724 and 5,918,814

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Solution

The third proportional to 2,507,724 and 5,918,814 is: 13,969,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,724 : 5,918,814 = 5,918,814 : x
  2. Step 2: Convert to fraction form
    2,507,724/5,918,814 = 5,918,814/x
  3. Step 3: Cross multiply
    2,507,724x = 5,918,814 × 5,918,814
  4. Step 4: Simplify right side
    2,507,724x = 35,032,359,166,596
  5. Step 5: Solve for x
    x = 35,032,359,166,596/2,507,724
  6. Step 6: Final answer
    x = 13,969,782.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.