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Finding the Third Proportional to 873,669 and 1,918,641

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Solution

The third proportional to 873,669 and 1,918,641 is: 4,213,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,669 : 1,918,641 = 1,918,641 : x
  2. Step 2: Convert to fraction form
    873,669/1,918,641 = 1,918,641/x
  3. Step 3: Cross multiply
    873,669x = 1,918,641 × 1,918,641
  4. Step 4: Simplify right side
    873,669x = 3,681,183,286,881
  5. Step 5: Solve for x
    x = 3,681,183,286,881/873,669
  6. Step 6: Final answer
    x = 4,213,475.91

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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.