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Finding the Third Proportional to 761,140 and 1,672,944

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Solution

The third proportional to 761,140 and 1,672,944 is: 3,677,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,140 : 1,672,944 = 1,672,944 : x
  2. Step 2: Convert to fraction form
    761,140/1,672,944 = 1,672,944/x
  3. Step 3: Cross multiply
    761,140x = 1,672,944 × 1,672,944
  4. Step 4: Simplify right side
    761,140x = 2,798,741,627,136
  5. Step 5: Solve for x
    x = 2,798,741,627,136/761,140
  6. Step 6: Final answer
    x = 3,677,039.21

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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.