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Finding the Third Proportional to 485,076 and 993,472

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Solution

The third proportional to 485,076 and 993,472 is: 2,034,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,076 : 993,472 = 993,472 : x
  2. Step 2: Convert to fraction form
    485,076/993,472 = 993,472/x
  3. Step 3: Cross multiply
    485,076x = 993,472 × 993,472
  4. Step 4: Simplify right side
    485,076x = 986,986,614,784
  5. Step 5: Solve for x
    x = 986,986,614,784/485,076
  6. Step 6: Final answer
    x = 2,034,705.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.