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Finding the Third Proportional to 2,032,443.56 and 2,972,342.25

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Solution

The third proportional to 2,032,443.56 and 2,972,342.25 is: 4,346,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,443.56 : 2,972,342.25 = 2,972,342.25 : x
  2. Step 2: Convert to fraction form
    2,032,443.56/2,972,342.25 = 2,972,342.25/x
  3. Step 3: Cross multiply
    2,032,443.56x = 2,972,342.25 × 2,972,342.25
  4. Step 4: Simplify right side
    2,032,443.56x = 8,834,818,451,135.06
  5. Step 5: Solve for x
    x = 8,834,818,451,135.06/2,032,443.56
  6. Step 6: Final answer
    x = 4,346,894.85

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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.