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Finding the Third Proportional to 2,032,738 and 2,972,703

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Solution

The third proportional to 2,032,738 and 2,972,703 is: 4,347,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,738 : 2,972,703 = 2,972,703 : x
  2. Step 2: Convert to fraction form
    2,032,738/2,972,703 = 2,972,703/x
  3. Step 3: Cross multiply
    2,032,738x = 2,972,703 × 2,972,703
  4. Step 4: Simplify right side
    2,032,738x = 8,836,963,126,209
  5. Step 5: Solve for x
    x = 8,836,963,126,209/2,032,738
  6. Step 6: Final answer
    x = 4,347,320.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.