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Finding the Third Proportional to 449,748 and 966,193

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Solution

The third proportional to 449,748 and 966,193 is: 2,075,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,748 : 966,193 = 966,193 : x
  2. Step 2: Convert to fraction form
    449,748/966,193 = 966,193/x
  3. Step 3: Cross multiply
    449,748x = 966,193 × 966,193
  4. Step 4: Simplify right side
    449,748x = 933,528,913,249
  5. Step 5: Solve for x
    x = 933,528,913,249/449,748
  6. Step 6: Final answer
    x = 2,075,671.07

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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.