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Finding the Third Proportional to 1,970,001 and 4,247,640

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Solution

The third proportional to 1,970,001 and 4,247,640 is: 9,158,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,001 : 4,247,640 = 4,247,640 : x
  2. Step 2: Convert to fraction form
    1,970,001/4,247,640 = 4,247,640/x
  3. Step 3: Cross multiply
    1,970,001x = 4,247,640 × 4,247,640
  4. Step 4: Simplify right side
    1,970,001x = 18,042,445,569,600
  5. Step 5: Solve for x
    x = 18,042,445,569,600/1,970,001
  6. Step 6: Final answer
    x = 9,158,597.16

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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.