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Finding the Third Proportional to 946,614 and 2,037,569

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Solution

The third proportional to 946,614 and 2,037,569 is: 4,385,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,614 : 2,037,569 = 2,037,569 : x
  2. Step 2: Convert to fraction form
    946,614/2,037,569 = 2,037,569/x
  3. Step 3: Cross multiply
    946,614x = 2,037,569 × 2,037,569
  4. Step 4: Simplify right side
    946,614x = 4,151,687,429,761
  5. Step 5: Solve for x
    x = 4,151,687,429,761/946,614
  6. Step 6: Final answer
    x = 4,385,829.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.