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Finding the Third Proportional to 1,970,838 and 4,236,283

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Solution

The third proportional to 1,970,838 and 4,236,283 is: 9,105,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,838 : 4,236,283 = 4,236,283 : x
  2. Step 2: Convert to fraction form
    1,970,838/4,236,283 = 4,236,283/x
  3. Step 3: Cross multiply
    1,970,838x = 4,236,283 × 4,236,283
  4. Step 4: Simplify right side
    1,970,838x = 17,946,093,656,089
  5. Step 5: Solve for x
    x = 17,946,093,656,089/1,970,838
  6. Step 6: Final answer
    x = 9,105,818.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.