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Finding the Third Proportional to 1,835,705 and 3,976,503

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Solution

The third proportional to 1,835,705 and 3,976,503 is: 8,613,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,705 : 3,976,503 = 3,976,503 : x
  2. Step 2: Convert to fraction form
    1,835,705/3,976,503 = 3,976,503/x
  3. Step 3: Cross multiply
    1,835,705x = 3,976,503 × 3,976,503
  4. Step 4: Simplify right side
    1,835,705x = 15,812,576,109,009
  5. Step 5: Solve for x
    x = 15,812,576,109,009/1,835,705
  6. Step 6: Final answer
    x = 8,613,898.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.