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Finding the Third Proportional to 873,676 and 1,918,664

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Solution

The third proportional to 873,676 and 1,918,664 is: 4,213,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,676 : 1,918,664 = 1,918,664 : x
  2. Step 2: Convert to fraction form
    873,676/1,918,664 = 1,918,664/x
  3. Step 3: Cross multiply
    873,676x = 1,918,664 × 1,918,664
  4. Step 4: Simplify right side
    873,676x = 3,681,271,544,896
  5. Step 5: Solve for x
    x = 3,681,271,544,896/873,676
  6. Step 6: Final answer
    x = 4,213,543.17

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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.