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Finding the Third Proportional to 992,873 and 2,143,213

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Solution

The third proportional to 992,873 and 2,143,213 is: 4,626,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,873 : 2,143,213 = 2,143,213 : x
  2. Step 2: Convert to fraction form
    992,873/2,143,213 = 2,143,213/x
  3. Step 3: Cross multiply
    992,873x = 2,143,213 × 2,143,213
  4. Step 4: Simplify right side
    992,873x = 4,593,361,963,369
  5. Step 5: Solve for x
    x = 4,593,361,963,369/992,873
  6. Step 6: Final answer
    x = 4,626,333.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.