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Finding the Third Proportional to 761,580 and 1,672,641

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Solution

The third proportional to 761,580 and 1,672,641 is: 3,673,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,580 : 1,672,641 = 1,672,641 : x
  2. Step 2: Convert to fraction form
    761,580/1,672,641 = 1,672,641/x
  3. Step 3: Cross multiply
    761,580x = 1,672,641 × 1,672,641
  4. Step 4: Simplify right side
    761,580x = 2,797,727,914,881
  5. Step 5: Solve for x
    x = 2,797,727,914,881/761,580
  6. Step 6: Final answer
    x = 3,673,583.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.