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Finding the Third Proportional to 4,037,658 and 6,206,172

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Solution

The third proportional to 4,037,658 and 6,206,172 is: 9,539,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037,658 : 6,206,172 = 6,206,172 : x
  2. Step 2: Convert to fraction form
    4,037,658/6,206,172 = 6,206,172/x
  3. Step 3: Cross multiply
    4,037,658x = 6,206,172 × 6,206,172
  4. Step 4: Simplify right side
    4,037,658x = 38,516,570,893,584
  5. Step 5: Solve for x
    x = 38,516,570,893,584/4,037,658
  6. Step 6: Final answer
    x = 9,539,334.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.