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Finding the Third Proportional to 2,032,494.50 and 2,972,409.50

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Solution

The third proportional to 2,032,494.50 and 2,972,409.50 is: 4,346,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,494.50 : 2,972,409.50 = 2,972,409.50 : x
  2. Step 2: Convert to fraction form
    2,032,494.50/2,972,409.50 = 2,972,409.50/x
  3. Step 3: Cross multiply
    2,032,494.50x = 2,972,409.50 × 2,972,409.50
  4. Step 4: Simplify right side
    2,032,494.50x = 8,835,218,235,690.25
  5. Step 5: Solve for x
    x = 8,835,218,235,690.25/2,032,494.50
  6. Step 6: Final answer
    x = 4,346,982.60

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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.