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Finding the Third Proportional to 671,592 and 1,461,336

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Solution

The third proportional to 671,592 and 1,461,336 is: 3,179,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,592 : 1,461,336 = 1,461,336 : x
  2. Step 2: Convert to fraction form
    671,592/1,461,336 = 1,461,336/x
  3. Step 3: Cross multiply
    671,592x = 1,461,336 × 1,461,336
  4. Step 4: Simplify right side
    671,592x = 2,135,502,904,896
  5. Step 5: Solve for x
    x = 2,135,502,904,896/671,592
  6. Step 6: Final answer
    x = 3,179,762.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.