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Finding the Third Proportional to 946,617 and 2,037,575.63

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Solution

The third proportional to 946,617 and 2,037,575.63 is: 4,385,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,617 : 2,037,575.63 = 2,037,575.63 : x
  2. Step 2: Convert to fraction form
    946,617/2,037,575.63 = 2,037,575.63/x
  3. Step 3: Cross multiply
    946,617x = 2,037,575.63 × 2,037,575.63
  4. Step 4: Simplify right side
    946,617x = 4,151,714,427,594.14
  5. Step 5: Solve for x
    x = 4,151,714,427,594.14/946,617
  6. Step 6: Final answer
    x = 4,385,843.93

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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.