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Finding the Third Proportional to 462,142 and 993,039

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Solution

The third proportional to 462,142 and 993,039 is: 2,133,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,142 : 993,039 = 993,039 : x
  2. Step 2: Convert to fraction form
    462,142/993,039 = 993,039/x
  3. Step 3: Cross multiply
    462,142x = 993,039 × 993,039
  4. Step 4: Simplify right side
    462,142x = 986,126,455,521
  5. Step 5: Solve for x
    x = 986,126,455,521/462,142
  6. Step 6: Final answer
    x = 2,133,817.00

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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.