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Finding the Third Proportional to 1,985,571 and 4,205,151

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Solution

The third proportional to 1,985,571 and 4,205,151 is: 8,905,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,571 : 4,205,151 = 4,205,151 : x
  2. Step 2: Convert to fraction form
    1,985,571/4,205,151 = 4,205,151/x
  3. Step 3: Cross multiply
    1,985,571x = 4,205,151 × 4,205,151
  4. Step 4: Simplify right side
    1,985,571x = 17,683,294,932,801
  5. Step 5: Solve for x
    x = 17,683,294,932,801/1,985,571
  6. Step 6: Final answer
    x = 8,905,899.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.