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Finding the Third Proportional to 462,209 and 993,403

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Solution

The third proportional to 462,209 and 993,403 is: 2,135,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,209 : 993,403 = 993,403 : x
  2. Step 2: Convert to fraction form
    462,209/993,403 = 993,403/x
  3. Step 3: Cross multiply
    462,209x = 993,403 × 993,403
  4. Step 4: Simplify right side
    462,209x = 986,849,520,409
  5. Step 5: Solve for x
    x = 986,849,520,409/462,209
  6. Step 6: Final answer
    x = 2,135,072.06

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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.