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Finding the Third Proportional to 2,171,064 and 4,640,910

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Solution

The third proportional to 2,171,064 and 4,640,910 is: 9,920,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,064 : 4,640,910 = 4,640,910 : x
  2. Step 2: Convert to fraction form
    2,171,064/4,640,910 = 4,640,910/x
  3. Step 3: Cross multiply
    2,171,064x = 4,640,910 × 4,640,910
  4. Step 4: Simplify right side
    2,171,064x = 21,538,045,628,100
  5. Step 5: Solve for x
    x = 21,538,045,628,100/2,171,064
  6. Step 6: Final answer
    x = 9,920,502.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.