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Finding the Third Proportional to 2,124,880.50 and 3,205,107

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Solution

The third proportional to 2,124,880.50 and 3,205,107 is: 4,834,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,880.50 : 3,205,107 = 3,205,107 : x
  2. Step 2: Convert to fraction form
    2,124,880.50/3,205,107 = 3,205,107/x
  3. Step 3: Cross multiply
    2,124,880.50x = 3,205,107 × 3,205,107
  4. Step 4: Simplify right side
    2,124,880.50x = 10,272,710,881,449
  5. Step 5: Solve for x
    x = 10,272,710,881,449/2,124,880.50
  6. Step 6: Final answer
    x = 4,834,488.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.