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Finding the Third Proportional to 1,049,598 and 2,173,878

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Solution

The third proportional to 1,049,598 and 2,173,878 is: 4,502,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,598 : 2,173,878 = 2,173,878 : x
  2. Step 2: Convert to fraction form
    1,049,598/2,173,878 = 2,173,878/x
  3. Step 3: Cross multiply
    1,049,598x = 2,173,878 × 2,173,878
  4. Step 4: Simplify right side
    1,049,598x = 4,725,745,558,884
  5. Step 5: Solve for x
    x = 4,725,745,558,884/1,049,598
  6. Step 6: Final answer
    x = 4,502,433.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.