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Finding the Third Proportional to 2,363,844 and 3,461,922

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Solution

The third proportional to 2,363,844 and 3,461,922 is: 5,070,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,844 : 3,461,922 = 3,461,922 : x
  2. Step 2: Convert to fraction form
    2,363,844/3,461,922 = 3,461,922/x
  3. Step 3: Cross multiply
    2,363,844x = 3,461,922 × 3,461,922
  4. Step 4: Simplify right side
    2,363,844x = 11,984,903,934,084
  5. Step 5: Solve for x
    x = 11,984,903,934,084/2,363,844
  6. Step 6: Final answer
    x = 5,070,090.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.