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Finding the Third Proportional to 2,032,746 and 2,972,718

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Solution

The third proportional to 2,032,746 and 2,972,718 is: 4,347,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,746 : 2,972,718 = 2,972,718 : x
  2. Step 2: Convert to fraction form
    2,032,746/2,972,718 = 2,972,718/x
  3. Step 3: Cross multiply
    2,032,746x = 2,972,718 × 2,972,718
  4. Step 4: Simplify right side
    2,032,746x = 8,837,052,307,524
  5. Step 5: Solve for x
    x = 8,837,052,307,524/2,032,746
  6. Step 6: Final answer
    x = 4,347,347.04

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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.