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Finding the Third Proportional to 2,287,419 and 3,364,564.50

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Solution

The third proportional to 2,287,419 and 3,364,564.50 is: 4,948,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,419 : 3,364,564.50 = 3,364,564.50 : x
  2. Step 2: Convert to fraction form
    2,287,419/3,364,564.50 = 3,364,564.50/x
  3. Step 3: Cross multiply
    2,287,419x = 3,364,564.50 × 3,364,564.50
  4. Step 4: Simplify right side
    2,287,419x = 11,320,294,274,660.25
  5. Step 5: Solve for x
    x = 11,320,294,274,660.25/2,287,419
  6. Step 6: Final answer
    x = 4,948,937.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.